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Finding the Fourth Proportional to 25,607.41, 38,397.24 and 11,551

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Solution

The fourth proportional to 25,607.41, 38,397.24 and 11,551 is: 17,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,607.41 : 38,397.24 = 11,551 : x
  2. Step 2: Convert to fraction form
    25,607.41/38,397.24 = 11,551/x
  3. Step 3: Cross multiply
    25,607.41x = 38,397.24 × 11,551
  4. Step 4: Simplify right side
    25,607.41x = 443,526,519.24
  5. Step 5: Solve for x
    x = 443,526,519.24/25,607.41
  6. Step 6: Final answer
    x = 17,320.24

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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.