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Finding the Fourth Proportional to 13,720.57, 20,585.79 and 5,395.97

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Solution

The fourth proportional to 13,720.57, 20,585.79 and 5,395.97 is: 8,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.57 : 20,585.79 = 5,395.97 : x
  2. Step 2: Convert to fraction form
    13,720.57/20,585.79 = 5,395.97/x
  3. Step 3: Cross multiply
    13,720.57x = 20,585.79 × 5,395.97
  4. Step 4: Simplify right side
    13,720.57x = 111,080,356.73
  5. Step 5: Solve for x
    x = 111,080,356.73/13,720.57
  6. Step 6: Final answer
    x = 8,095.90

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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.