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Finding the Fourth Proportional to 15,892.68, 23,839.20 and 5,502

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Solution

The fourth proportional to 15,892.68, 23,839.20 and 5,502 is: 8,253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.68 : 23,839.20 = 5,502 : x
  2. Step 2: Convert to fraction form
    15,892.68/23,839.20 = 5,502/x
  3. Step 3: Cross multiply
    15,892.68x = 23,839.20 × 5,502
  4. Step 4: Simplify right side
    15,892.68x = 131,163,278.40
  5. Step 5: Solve for x
    x = 131,163,278.40/15,892.68
  6. Step 6: Final answer
    x = 8,253.06

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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.