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Finding the Fourth Proportional to 14,757.54, 22,140.24 and 6,438.22

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Solution

The fourth proportional to 14,757.54, 22,140.24 and 6,438.22 is: 9,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.54 : 22,140.24 = 6,438.22 : x
  2. Step 2: Convert to fraction form
    14,757.54/22,140.24 = 6,438.22/x
  3. Step 3: Cross multiply
    14,757.54x = 22,140.24 × 6,438.22
  4. Step 4: Simplify right side
    14,757.54x = 142,543,735.97
  5. Step 5: Solve for x
    x = 142,543,735.97/14,757.54
  6. Step 6: Final answer
    x = 9,659.04

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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.