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Finding the Fourth Proportional to 14,891.97, 20,551.66 and 8,177.52

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Solution

The fourth proportional to 14,891.97, 20,551.66 and 8,177.52 is: 11,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,891.97 : 20,551.66 = 8,177.52 : x
  2. Step 2: Convert to fraction form
    14,891.97/20,551.66 = 8,177.52/x
  3. Step 3: Cross multiply
    14,891.97x = 20,551.66 × 8,177.52
  4. Step 4: Simplify right side
    14,891.97x = 168,061,610.68
  5. Step 5: Solve for x
    x = 168,061,610.68/14,891.97
  6. Step 6: Final answer
    x = 11,285.38

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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.