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Finding the Fourth Proportional to 13,470.10, 20,206.17 and 3,609.16

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Solution

The fourth proportional to 13,470.10, 20,206.17 and 3,609.16 is: 5,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.10 : 20,206.17 = 3,609.16 : x
  2. Step 2: Convert to fraction form
    13,470.10/20,206.17 = 3,609.16/x
  3. Step 3: Cross multiply
    13,470.10x = 20,206.17 × 3,609.16
  4. Step 4: Simplify right side
    13,470.10x = 72,927,300.52
  5. Step 5: Solve for x
    x = 72,927,300.52/13,470.10
  6. Step 6: Final answer
    x = 5,414.01

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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.