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Finding the Fourth Proportional to 15,142.64, 22,715.06 and 4,049.06

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Solution

The fourth proportional to 15,142.64, 22,715.06 and 4,049.06 is: 6,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.64 : 22,715.06 = 4,049.06 : x
  2. Step 2: Convert to fraction form
    15,142.64/22,715.06 = 4,049.06/x
  3. Step 3: Cross multiply
    15,142.64x = 22,715.06 × 4,049.06
  4. Step 4: Simplify right side
    15,142.64x = 91,974,507.02
  5. Step 5: Solve for x
    x = 91,974,507.02/15,142.64
  6. Step 6: Final answer
    x = 6,073.88

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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.