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Finding the Fourth Proportional to 23,841.56, 32,899.82 and 13,231.20

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Solution

The fourth proportional to 23,841.56, 32,899.82 and 13,231.20 is: 18,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.56 : 32,899.82 = 13,231.20 : x
  2. Step 2: Convert to fraction form
    23,841.56/32,899.82 = 13,231.20/x
  3. Step 3: Cross multiply
    23,841.56x = 32,899.82 × 13,231.20
  4. Step 4: Simplify right side
    23,841.56x = 435,304,098.38
  5. Step 5: Solve for x
    x = 435,304,098.38/23,841.56
  6. Step 6: Final answer
    x = 18,258.21

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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.