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Finding the Fourth Proportional to 13,809.92, 20,717.58 and 5,488.38

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Solution

The fourth proportional to 13,809.92, 20,717.58 and 5,488.38 is: 8,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.92 : 20,717.58 = 5,488.38 : x
  2. Step 2: Convert to fraction form
    13,809.92/20,717.58 = 5,488.38/x
  3. Step 3: Cross multiply
    13,809.92x = 20,717.58 × 5,488.38
  4. Step 4: Simplify right side
    13,809.92x = 113,705,951.72
  5. Step 5: Solve for x
    x = 113,705,951.72/13,809.92
  6. Step 6: Final answer
    x = 8,233.65

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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.