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Finding the Fourth Proportional to 22,506.28, 31,057.07 and 12,434.61

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Solution

The fourth proportional to 22,506.28, 31,057.07 and 12,434.61 is: 17,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.28 : 31,057.07 = 12,434.61 : x
  2. Step 2: Convert to fraction form
    22,506.28/31,057.07 = 12,434.61/x
  3. Step 3: Cross multiply
    22,506.28x = 31,057.07 × 12,434.61
  4. Step 4: Simplify right side
    22,506.28x = 386,182,677.43
  5. Step 5: Solve for x
    x = 386,182,677.43/22,506.28
  6. Step 6: Final answer
    x = 17,158.89

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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.