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Finding the Fourth Proportional to 22,582.65, 31,169.24 and 15,029.30

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Solution

The fourth proportional to 22,582.65, 31,169.24 and 15,029.30 is: 20,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.65 : 31,169.24 = 15,029.30 : x
  2. Step 2: Convert to fraction form
    22,582.65/31,169.24 = 15,029.30/x
  3. Step 3: Cross multiply
    22,582.65x = 31,169.24 × 15,029.30
  4. Step 4: Simplify right side
    22,582.65x = 468,451,858.73
  5. Step 5: Solve for x
    x = 468,451,858.73/22,582.65
  6. Step 6: Final answer
    x = 20,743.88

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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.