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Finding the Fourth Proportional to 13,357.92, 20,046.74 and 6,337.96

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Solution

The fourth proportional to 13,357.92, 20,046.74 and 6,337.96 is: 9,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.92 : 20,046.74 = 6,337.96 : x
  2. Step 2: Convert to fraction form
    13,357.92/20,046.74 = 6,337.96/x
  3. Step 3: Cross multiply
    13,357.92x = 20,046.74 × 6,337.96
  4. Step 4: Simplify right side
    13,357.92x = 127,055,436.25
  5. Step 5: Solve for x
    x = 127,055,436.25/13,357.92
  6. Step 6: Final answer
    x = 9,511.62

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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.