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Finding the Fourth Proportional to 20,878.92, 31,309.14 and 15,011

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Solution

The fourth proportional to 20,878.92, 31,309.14 and 15,011 is: 22,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.92 : 31,309.14 = 15,011 : x
  2. Step 2: Convert to fraction form
    20,878.92/31,309.14 = 15,011/x
  3. Step 3: Cross multiply
    20,878.92x = 31,309.14 × 15,011
  4. Step 4: Simplify right side
    20,878.92x = 469,981,500.54
  5. Step 5: Solve for x
    x = 469,981,500.54/20,878.92
  6. Step 6: Final answer
    x = 22,509.86

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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.