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Finding the Fourth Proportional to 13,425.46, 20,141.07 and 5,629.78

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Solution

The fourth proportional to 13,425.46, 20,141.07 and 5,629.78 is: 8,445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.46 : 20,141.07 = 5,629.78 : x
  2. Step 2: Convert to fraction form
    13,425.46/20,141.07 = 5,629.78/x
  3. Step 3: Cross multiply
    13,425.46x = 20,141.07 × 5,629.78
  4. Step 4: Simplify right side
    13,425.46x = 113,389,793.06
  5. Step 5: Solve for x
    x = 113,389,793.06/13,425.46
  6. Step 6: Final answer
    x = 8,445.88

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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.