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Finding the Fourth Proportional to 22,841.54, 31,531.02 and 13,891.90

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Solution

The fourth proportional to 22,841.54, 31,531.02 and 13,891.90 is: 19,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,841.54 : 31,531.02 = 13,891.90 : x
  2. Step 2: Convert to fraction form
    22,841.54/31,531.02 = 13,891.90/x
  3. Step 3: Cross multiply
    22,841.54x = 31,531.02 × 13,891.90
  4. Step 4: Simplify right side
    22,841.54x = 438,025,776.74
  5. Step 5: Solve for x
    x = 438,025,776.74/22,841.54
  6. Step 6: Final answer
    x = 19,176.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.