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Finding the Fourth Proportional to 13,562.16, 20,338.92 and 4,326

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Solution

The fourth proportional to 13,562.16, 20,338.92 and 4,326 is: 6,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.16 : 20,338.92 = 4,326 : x
  2. Step 2: Convert to fraction form
    13,562.16/20,338.92 = 4,326/x
  3. Step 3: Cross multiply
    13,562.16x = 20,338.92 × 4,326
  4. Step 4: Simplify right side
    13,562.16x = 87,986,167.92
  5. Step 5: Solve for x
    x = 87,986,167.92/13,562.16
  6. Step 6: Final answer
    x = 6,487.62

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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.