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Finding the Fourth Proportional to 15,286.77, 22,930.16 and 10,091.43

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Solution

The fourth proportional to 15,286.77, 22,930.16 and 10,091.43 is: 15,137.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,286.77 : 22,930.16 = 10,091.43 : x
  2. Step 2: Convert to fraction form
    15,286.77/22,930.16 = 10,091.43/x
  3. Step 3: Cross multiply
    15,286.77x = 22,930.16 × 10,091.43
  4. Step 4: Simplify right side
    15,286.77x = 231,398,104.53
  5. Step 5: Solve for x
    x = 231,398,104.53/15,286.77
  6. Step 6: Final answer
    x = 15,137.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.