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Finding the Fourth Proportional to 21,995.75, 32,993.63 and 9,683.75

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Solution

The fourth proportional to 21,995.75, 32,993.63 and 9,683.75 is: 14,525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,995.75 : 32,993.63 = 9,683.75 : x
  2. Step 2: Convert to fraction form
    21,995.75/32,993.63 = 9,683.75/x
  3. Step 3: Cross multiply
    21,995.75x = 32,993.63 × 9,683.75
  4. Step 4: Simplify right side
    21,995.75x = 319,502,064.51
  5. Step 5: Solve for x
    x = 319,502,064.51/21,995.75
  6. Step 6: Final answer
    x = 14,525.63

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Half scale
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Double scale
Find fourth proportional to 21,996.75, 32,995.13 and 9,684.75
Similar ratio
Find fourth proportional to 32,993.63, 49,490.45 and 14,525.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.