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Finding the Fourth Proportional to 22,497.59, 31,046.17 and 12,288.28

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Solution

The fourth proportional to 22,497.59, 31,046.17 and 12,288.28 is: 16,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.59 : 31,046.17 = 12,288.28 : x
  2. Step 2: Convert to fraction form
    22,497.59/31,046.17 = 12,288.28/x
  3. Step 3: Cross multiply
    22,497.59x = 31,046.17 × 12,288.28
  4. Step 4: Simplify right side
    22,497.59x = 381,504,029.89
  5. Step 5: Solve for x
    x = 381,504,029.89/22,497.59
  6. Step 6: Final answer
    x = 16,957.55

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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.