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Finding the Fourth Proportional to 25,431.68, 38,147.49 and 9,849.30

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Solution

The fourth proportional to 25,431.68, 38,147.49 and 9,849.30 is: 14,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,431.68 : 38,147.49 = 9,849.30 : x
  2. Step 2: Convert to fraction form
    25,431.68/38,147.49 = 9,849.30/x
  3. Step 3: Cross multiply
    25,431.68x = 38,147.49 × 9,849.30
  4. Step 4: Simplify right side
    25,431.68x = 375,726,073.26
  5. Step 5: Solve for x
    x = 375,726,073.26/25,431.68
  6. Step 6: Final answer
    x = 14,773.94

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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.