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Finding the Fourth Proportional to 22,559.59, 31,135.82 and 13,608.38

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Solution

The fourth proportional to 22,559.59, 31,135.82 and 13,608.38 is: 18,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,559.59 : 31,135.82 = 13,608.38 : x
  2. Step 2: Convert to fraction form
    22,559.59/31,135.82 = 13,608.38/x
  3. Step 3: Cross multiply
    22,559.59x = 31,135.82 × 13,608.38
  4. Step 4: Simplify right side
    22,559.59x = 423,708,030.67
  5. Step 5: Solve for x
    x = 423,708,030.67/22,559.59
  6. Step 6: Final answer
    x = 18,781.73

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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.