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Finding the Fourth Proportional to 22,818.81, 31,489.96 and 12,882.81

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Solution

The fourth proportional to 22,818.81, 31,489.96 and 12,882.81 is: 17,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,818.81 : 31,489.96 = 12,882.81 : x
  2. Step 2: Convert to fraction form
    22,818.81/31,489.96 = 12,882.81/x
  3. Step 3: Cross multiply
    22,818.81x = 31,489.96 × 12,882.81
  4. Step 4: Simplify right side
    22,818.81x = 405,679,171.59
  5. Step 5: Solve for x
    x = 405,679,171.59/22,818.81
  6. Step 6: Final answer
    x = 17,778.28

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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.