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Finding the Fourth Proportional to 13,790.10, 20,687.42 and 5,470.16

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Solution

The fourth proportional to 13,790.10, 20,687.42 and 5,470.16 is: 8,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.10 : 20,687.42 = 5,470.16 : x
  2. Step 2: Convert to fraction form
    13,790.10/20,687.42 = 5,470.16/x
  3. Step 3: Cross multiply
    13,790.10x = 20,687.42 × 5,470.16
  4. Step 4: Simplify right side
    13,790.10x = 113,163,366.60
  5. Step 5: Solve for x
    x = 113,163,366.60/13,790.10
  6. Step 6: Final answer
    x = 8,206.13

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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.