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Finding the Fourth Proportional to 22,662, 31,268.82 and 13,707.75

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Solution

The fourth proportional to 22,662, 31,268.82 and 13,707.75 is: 18,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662 : 31,268.82 = 13,707.75 : x
  2. Step 2: Convert to fraction form
    22,662/31,268.82 = 13,707.75/x
  3. Step 3: Cross multiply
    22,662x = 31,268.82 × 13,707.75
  4. Step 4: Simplify right side
    22,662x = 428,625,167.36
  5. Step 5: Solve for x
    x = 428,625,167.36/22,662
  6. Step 6: Final answer
    x = 18,913.83

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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.