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Finding the Fourth Proportional to 15,142.81, 22,717.88 and 4,754.56

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Solution

The fourth proportional to 15,142.81, 22,717.88 and 4,754.56 is: 7,132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.81 : 22,717.88 = 4,754.56 : x
  2. Step 2: Convert to fraction form
    15,142.81/22,717.88 = 4,754.56/x
  3. Step 3: Cross multiply
    15,142.81x = 22,717.88 × 4,754.56
  4. Step 4: Simplify right side
    15,142.81x = 108,013,523.53
  5. Step 5: Solve for x
    x = 108,013,523.53/15,142.81
  6. Step 6: Final answer
    x = 7,132.99

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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.