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Finding the Fourth Proportional to 13,439.10, 18,546.02 and 7,470.87

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Solution

The fourth proportional to 13,439.10, 18,546.02 and 7,470.87 is: 10,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,439.10 : 18,546.02 = 7,470.87 : x
  2. Step 2: Convert to fraction form
    13,439.10/18,546.02 = 7,470.87/x
  3. Step 3: Cross multiply
    13,439.10x = 18,546.02 × 7,470.87
  4. Step 4: Simplify right side
    13,439.10x = 138,554,867.08
  5. Step 5: Solve for x
    x = 138,554,867.08/13,439.10
  6. Step 6: Final answer
    x = 10,309.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.