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Finding the Fourth Proportional to 13,614.58, 20,382.90 and 9,224.24

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Solution

The fourth proportional to 13,614.58, 20,382.90 and 9,224.24 is: 13,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.58 : 20,382.90 = 9,224.24 : x
  2. Step 2: Convert to fraction form
    13,614.58/20,382.90 = 9,224.24/x
  3. Step 3: Cross multiply
    13,614.58x = 20,382.90 × 9,224.24
  4. Step 4: Simplify right side
    13,614.58x = 188,016,761.50
  5. Step 5: Solve for x
    x = 188,016,761.50/13,614.58
  6. Step 6: Final answer
    x = 13,809.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.