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Finding the Fourth Proportional to 14,761.94, 20,365.17 and 13,747.82

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Solution

The fourth proportional to 14,761.94, 20,365.17 and 13,747.82 is: 18,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.94 : 20,365.17 = 13,747.82 : x
  2. Step 2: Convert to fraction form
    14,761.94/20,365.17 = 13,747.82/x
  3. Step 3: Cross multiply
    14,761.94x = 20,365.17 × 13,747.82
  4. Step 4: Simplify right side
    14,761.94x = 279,976,691.43
  5. Step 5: Solve for x
    x = 279,976,691.43/14,761.94
  6. Step 6: Final answer
    x = 18,966.12

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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.