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Finding the Fourth Proportional to 22,591.16, 31,180.16 and 13,037.24

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Solution

The fourth proportional to 22,591.16, 31,180.16 and 13,037.24 is: 17,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,591.16 : 31,180.16 = 13,037.24 : x
  2. Step 2: Convert to fraction form
    22,591.16/31,180.16 = 13,037.24/x
  3. Step 3: Cross multiply
    22,591.16x = 31,180.16 × 13,037.24
  4. Step 4: Simplify right side
    22,591.16x = 406,503,229.16
  5. Step 5: Solve for x
    x = 406,503,229.16/22,591.16
  6. Step 6: Final answer
    x = 17,993.91

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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.