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Finding the Fourth Proportional to 22,494.30, 31,042.02 and 12,422.69

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Solution

The fourth proportional to 22,494.30, 31,042.02 and 12,422.69 is: 17,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.30 : 31,042.02 = 12,422.69 : x
  2. Step 2: Convert to fraction form
    22,494.30/31,042.02 = 12,422.69/x
  3. Step 3: Cross multiply
    22,494.30x = 31,042.02 × 12,422.69
  4. Step 4: Simplify right side
    22,494.30x = 385,625,391.43
  5. Step 5: Solve for x
    x = 385,625,391.43/22,494.30
  6. Step 6: Final answer
    x = 17,143.25

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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.