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Finding the Fourth Proportional to 21,103.92, 31,646.66 and 10,013.78

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Solution

The fourth proportional to 21,103.92, 31,646.66 and 10,013.78 is: 15,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,103.92 : 31,646.66 = 10,013.78 : x
  2. Step 2: Convert to fraction form
    21,103.92/31,646.66 = 10,013.78/x
  3. Step 3: Cross multiply
    21,103.92x = 31,646.66 × 10,013.78
  4. Step 4: Simplify right side
    21,103.92x = 316,902,690.97
  5. Step 5: Solve for x
    x = 316,902,690.97/21,103.92
  6. Step 6: Final answer
    x = 15,016.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.