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Finding the Fourth Proportional to 13,760.71, 20,627.05 and 5,429.29

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Solution

The fourth proportional to 13,760.71, 20,627.05 and 5,429.29 is: 8,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.71 : 20,627.05 = 5,429.29 : x
  2. Step 2: Convert to fraction form
    13,760.71/20,627.05 = 5,429.29/x
  3. Step 3: Cross multiply
    13,760.71x = 20,627.05 × 5,429.29
  4. Step 4: Simplify right side
    13,760.71x = 111,990,236.29
  5. Step 5: Solve for x
    x = 111,990,236.29/13,760.71
  6. Step 6: Final answer
    x = 8,138.41

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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.