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Finding the Fourth Proportional to 23,103.29, 31,882.49 and 13,031.70

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Solution

The fourth proportional to 23,103.29, 31,882.49 and 13,031.70 is: 17,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103.29 : 31,882.49 = 13,031.70 : x
  2. Step 2: Convert to fraction form
    23,103.29/31,882.49 = 13,031.70/x
  3. Step 3: Cross multiply
    23,103.29x = 31,882.49 × 13,031.70
  4. Step 4: Simplify right side
    23,103.29x = 415,482,885.52
  5. Step 5: Solve for x
    x = 415,482,885.52/23,103.29
  6. Step 6: Final answer
    x = 17,983.71

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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.