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Finding the Fourth Proportional to 17,642.25, 24,345.09 and 9,682.83

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Solution

The fourth proportional to 17,642.25, 24,345.09 and 9,682.83 is: 13,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.25 : 24,345.09 = 9,682.83 : x
  2. Step 2: Convert to fraction form
    17,642.25/24,345.09 = 9,682.83/x
  3. Step 3: Cross multiply
    17,642.25x = 24,345.09 × 9,682.83
  4. Step 4: Simplify right side
    17,642.25x = 235,729,367.80
  5. Step 5: Solve for x
    x = 235,729,367.80/17,642.25
  6. Step 6: Final answer
    x = 13,361.64

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Half scale
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Double scale
Find fourth proportional to 17,643.25, 24,346.47 and 9,683.83
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.