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Finding the Fourth Proportional to 13,446.72, 18,535.92 and 9,456.96

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Solution

The fourth proportional to 13,446.72, 18,535.92 and 9,456.96 is: 13,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.72 : 18,535.92 = 9,456.96 : x
  2. Step 2: Convert to fraction form
    13,446.72/18,535.92 = 9,456.96/x
  3. Step 3: Cross multiply
    13,446.72x = 18,535.92 × 9,456.96
  4. Step 4: Simplify right side
    13,446.72x = 175,293,454.00
  5. Step 5: Solve for x
    x = 175,293,454.00/13,446.72
  6. Step 6: Final answer
    x = 13,036.15

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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.