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Finding the Fourth Proportional to 15,142.44, 22,715.82 and 4,755

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Solution

The fourth proportional to 15,142.44, 22,715.82 and 4,755 is: 7,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.44 : 22,715.82 = 4,755 : x
  2. Step 2: Convert to fraction form
    15,142.44/22,715.82 = 4,755/x
  3. Step 3: Cross multiply
    15,142.44x = 22,715.82 × 4,755
  4. Step 4: Simplify right side
    15,142.44x = 108,013,724.10
  5. Step 5: Solve for x
    x = 108,013,724.10/15,142.44
  6. Step 6: Final answer
    x = 7,133.18

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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.