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Finding the Fourth Proportional to 25,438.59, 38,102.40 and 15,547.88

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Solution

The fourth proportional to 25,438.59, 38,102.40 and 15,547.88 is: 23,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438.59 : 38,102.40 = 15,547.88 : x
  2. Step 2: Convert to fraction form
    25,438.59/38,102.40 = 15,547.88/x
  3. Step 3: Cross multiply
    25,438.59x = 38,102.40 × 15,547.88
  4. Step 4: Simplify right side
    25,438.59x = 592,411,638.17
  5. Step 5: Solve for x
    x = 592,411,638.17/25,438.59
  6. Step 6: Final answer
    x = 23,287.91

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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.