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Finding the Fourth Proportional to 25,344, 38,028.96 and 9,757.44

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Solution

The fourth proportional to 25,344, 38,028.96 and 9,757.44 is: 14,641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,344 : 38,028.96 = 9,757.44 : x
  2. Step 2: Convert to fraction form
    25,344/38,028.96 = 9,757.44/x
  3. Step 3: Cross multiply
    25,344x = 38,028.96 × 9,757.44
  4. Step 4: Simplify right side
    25,344x = 371,065,295.46
  5. Step 5: Solve for x
    x = 371,065,295.46/25,344
  6. Step 6: Final answer
    x = 14,641.15

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