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Finding the Fourth Proportional to 14,515.34, 20,031.17 and 8,227.71

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Solution

The fourth proportional to 14,515.34, 20,031.17 and 8,227.71 is: 11,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.34 : 20,031.17 = 8,227.71 : x
  2. Step 2: Convert to fraction form
    14,515.34/20,031.17 = 8,227.71/x
  3. Step 3: Cross multiply
    14,515.34x = 20,031.17 × 8,227.71
  4. Step 4: Simplify right side
    14,515.34x = 164,810,616.58
  5. Step 5: Solve for x
    x = 164,810,616.58/14,515.34
  6. Step 6: Final answer
    x = 11,354.24

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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.