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Finding the Fourth Proportional to 14,891.76, 20,551.02 and 8,177.82

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Solution

The fourth proportional to 14,891.76, 20,551.02 and 8,177.82 is: 11,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,891.76 : 20,551.02 = 8,177.82 : x
  2. Step 2: Convert to fraction form
    14,891.76/20,551.02 = 8,177.82/x
  3. Step 3: Cross multiply
    14,891.76x = 20,551.02 × 8,177.82
  4. Step 4: Simplify right side
    14,891.76x = 168,062,542.38
  5. Step 5: Solve for x
    x = 168,062,542.38/14,891.76
  6. Step 6: Final answer
    x = 11,285.61

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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.