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Finding the Fourth Proportional to 25,547.92, 38,312.16 and 11,687.20

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Solution

The fourth proportional to 25,547.92, 38,312.16 and 11,687.20 is: 17,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,547.92 : 38,312.16 = 11,687.20 : x
  2. Step 2: Convert to fraction form
    25,547.92/38,312.16 = 11,687.20/x
  3. Step 3: Cross multiply
    25,547.92x = 38,312.16 × 11,687.20
  4. Step 4: Simplify right side
    25,547.92x = 447,762,050.86
  5. Step 5: Solve for x
    x = 447,762,050.86/25,547.92
  6. Step 6: Final answer
    x = 17,526.36

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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.