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Finding the Fourth Proportional to 22,691.76, 31,338.54 and 20,218.02

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Solution

The fourth proportional to 22,691.76, 31,338.54 and 20,218.02 is: 27,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,691.76 : 31,338.54 = 20,218.02 : x
  2. Step 2: Convert to fraction form
    22,691.76/31,338.54 = 20,218.02/x
  3. Step 3: Cross multiply
    22,691.76x = 31,338.54 × 20,218.02
  4. Step 4: Simplify right side
    22,691.76x = 633,603,228.49
  5. Step 5: Solve for x
    x = 633,603,228.49/22,691.76
  6. Step 6: Final answer
    x = 27,922.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.