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Finding the Fourth Proportional to 16,462.29, 22,708.71 and 10,091.97

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Solution

The fourth proportional to 16,462.29, 22,708.71 and 10,091.97 is: 13,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.29 : 22,708.71 = 10,091.97 : x
  2. Step 2: Convert to fraction form
    16,462.29/22,708.71 = 10,091.97/x
  3. Step 3: Cross multiply
    16,462.29x = 22,708.71 × 10,091.97
  4. Step 4: Simplify right side
    16,462.29x = 229,175,620.06
  5. Step 5: Solve for x
    x = 229,175,620.06/16,462.29
  6. Step 6: Final answer
    x = 13,921.25

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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.