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Finding the Fourth Proportional to 22,605.16, 31,196.82 and 13,171.72

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Solution

The fourth proportional to 22,605.16, 31,196.82 and 13,171.72 is: 18,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.16 : 31,196.82 = 13,171.72 : x
  2. Step 2: Convert to fraction form
    22,605.16/31,196.82 = 13,171.72/x
  3. Step 3: Cross multiply
    22,605.16x = 31,196.82 × 13,171.72
  4. Step 4: Simplify right side
    22,605.16x = 410,915,777.93
  5. Step 5: Solve for x
    x = 410,915,777.93/22,605.16
  6. Step 6: Final answer
    x = 18,177.96

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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.