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Finding the Fourth Proportional to 23,105.31, 31,885.79 and 13,031.78

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Solution

The fourth proportional to 23,105.31, 31,885.79 and 13,031.78 is: 17,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.31 : 31,885.79 = 13,031.78 : x
  2. Step 2: Convert to fraction form
    23,105.31/31,885.79 = 13,031.78/x
  3. Step 3: Cross multiply
    23,105.31x = 31,885.79 × 13,031.78
  4. Step 4: Simplify right side
    23,105.31x = 415,528,375.82
  5. Step 5: Solve for x
    x = 415,528,375.82/23,105.31
  6. Step 6: Final answer
    x = 17,984.11

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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.