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Finding the Fourth Proportional to 15,015.74, 22,517.17 and 5,156

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Solution

The fourth proportional to 15,015.74, 22,517.17 and 5,156 is: 7,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,015.74 : 22,517.17 = 5,156 : x
  2. Step 2: Convert to fraction form
    15,015.74/22,517.17 = 5,156/x
  3. Step 3: Cross multiply
    15,015.74x = 22,517.17 × 5,156
  4. Step 4: Simplify right side
    15,015.74x = 116,098,528.52
  5. Step 5: Solve for x
    x = 116,098,528.52/15,015.74
  6. Step 6: Final answer
    x = 7,731.79

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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.