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Finding the Fourth Proportional to 22,516.97, 31,077.27 and 13,091

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Solution

The fourth proportional to 22,516.97, 31,077.27 and 13,091 is: 18,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.97 : 31,077.27 = 13,091 : x
  2. Step 2: Convert to fraction form
    22,516.97/31,077.27 = 13,091/x
  3. Step 3: Cross multiply
    22,516.97x = 31,077.27 × 13,091
  4. Step 4: Simplify right side
    22,516.97x = 406,832,541.57
  5. Step 5: Solve for x
    x = 406,832,541.57/22,516.97
  6. Step 6: Final answer
    x = 18,067.82

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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.