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Finding the Fourth Proportional to 22,582.46, 31,168.98 and 15,029.11

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Solution

The fourth proportional to 22,582.46, 31,168.98 and 15,029.11 is: 20,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.46 : 31,168.98 = 15,029.11 : x
  2. Step 2: Convert to fraction form
    22,582.46/31,168.98 = 15,029.11/x
  3. Step 3: Cross multiply
    22,582.46x = 31,168.98 × 15,029.11
  4. Step 4: Simplify right side
    22,582.46x = 468,442,029.01
  5. Step 5: Solve for x
    x = 468,442,029.01/22,582.46
  6. Step 6: Final answer
    x = 20,743.62

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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.