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Finding the Fourth Proportional to 21,508.88, 32,257.17 and 9,031.70

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Solution

The fourth proportional to 21,508.88, 32,257.17 and 9,031.70 is: 13,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,508.88 : 32,257.17 = 9,031.70 : x
  2. Step 2: Convert to fraction form
    21,508.88/32,257.17 = 9,031.70/x
  3. Step 3: Cross multiply
    21,508.88x = 32,257.17 × 9,031.70
  4. Step 4: Simplify right side
    21,508.88x = 291,337,162.93
  5. Step 5: Solve for x
    x = 291,337,162.93/21,508.88
  6. Step 6: Final answer
    x = 13,544.97

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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.