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Finding the Fourth Proportional to 14,591.34, 20,134.51 and 8,216.91

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Solution

The fourth proportional to 14,591.34, 20,134.51 and 8,216.91 is: 11,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.34 : 20,134.51 = 8,216.91 : x
  2. Step 2: Convert to fraction form
    14,591.34/20,134.51 = 8,216.91/x
  3. Step 3: Cross multiply
    14,591.34x = 20,134.51 × 8,216.91
  4. Step 4: Simplify right side
    14,591.34x = 165,443,436.02
  5. Step 5: Solve for x
    x = 165,443,436.02/14,591.34
  6. Step 6: Final answer
    x = 11,338.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.