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Finding the Fourth Proportional to 14,791.83, 20,414.47 and 8,331.68

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Solution

The fourth proportional to 14,791.83, 20,414.47 and 8,331.68 is: 11,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,791.83 : 20,414.47 = 8,331.68 : x
  2. Step 2: Convert to fraction form
    14,791.83/20,414.47 = 8,331.68/x
  3. Step 3: Cross multiply
    14,791.83x = 20,414.47 × 8,331.68
  4. Step 4: Simplify right side
    14,791.83x = 170,086,729.16
  5. Step 5: Solve for x
    x = 170,086,729.16/14,791.83
  6. Step 6: Final answer
    x = 11,498.70

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1.5x scale

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.