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Finding the Fourth Proportional to 13,614.36, 20,432.72 and 7,042.56

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Solution

The fourth proportional to 13,614.36, 20,432.72 and 7,042.56 is: 10,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.36 : 20,432.72 = 7,042.56 : x
  2. Step 2: Convert to fraction form
    13,614.36/20,432.72 = 7,042.56/x
  3. Step 3: Cross multiply
    13,614.36x = 20,432.72 × 7,042.56
  4. Step 4: Simplify right side
    13,614.36x = 143,898,656.56
  5. Step 5: Solve for x
    x = 143,898,656.56/13,614.36
  6. Step 6: Final answer
    x = 10,569.62

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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.