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Finding the Fourth Proportional to 13,747.88, 20,629.29 and 5,957.30

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Solution

The fourth proportional to 13,747.88, 20,629.29 and 5,957.30 is: 8,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747.88 : 20,629.29 = 5,957.30 : x
  2. Step 2: Convert to fraction form
    13,747.88/20,629.29 = 5,957.30/x
  3. Step 3: Cross multiply
    13,747.88x = 20,629.29 × 5,957.30
  4. Step 4: Simplify right side
    13,747.88x = 122,894,869.32
  5. Step 5: Solve for x
    x = 122,894,869.32/13,747.88
  6. Step 6: Final answer
    x = 8,939.19

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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.