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Finding the Fourth Proportional to 22,591.92, 31,174.16 and 12,519.44

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Solution

The fourth proportional to 22,591.92, 31,174.16 and 12,519.44 is: 17,275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,591.92 : 31,174.16 = 12,519.44 : x
  2. Step 2: Convert to fraction form
    22,591.92/31,174.16 = 12,519.44/x
  3. Step 3: Cross multiply
    22,591.92x = 31,174.16 × 12,519.44
  4. Step 4: Simplify right side
    22,591.92x = 390,282,807.20
  5. Step 5: Solve for x
    x = 390,282,807.20/22,591.92
  6. Step 6: Final answer
    x = 17,275.33

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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.