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Finding the Fourth Proportional to 22,965.33, 34,448.00 and 7,382.96

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Solution

The fourth proportional to 22,965.33, 34,448.00 and 7,382.96 is: 11,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.33 : 34,448.00 = 7,382.96 : x
  2. Step 2: Convert to fraction form
    22,965.33/34,448.00 = 7,382.96/x
  3. Step 3: Cross multiply
    22,965.33x = 34,448.00 × 7,382.96
  4. Step 4: Simplify right side
    22,965.33x = 254,328,101.50
  5. Step 5: Solve for x
    x = 254,328,101.50/22,965.33
  6. Step 6: Final answer
    x = 11,074.44

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Similar ratio
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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.