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Finding the Fourth Proportional to 21,358.57, 32,031.80 and 8,863.14

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Solution

The fourth proportional to 21,358.57, 32,031.80 and 8,863.14 is: 13,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,358.57 : 32,031.80 = 8,863.14 : x
  2. Step 2: Convert to fraction form
    21,358.57/32,031.80 = 8,863.14/x
  3. Step 3: Cross multiply
    21,358.57x = 32,031.80 × 8,863.14
  4. Step 4: Simplify right side
    21,358.57x = 283,902,306.57
  5. Step 5: Solve for x
    x = 283,902,306.57/21,358.57
  6. Step 6: Final answer
    x = 13,292.20

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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.