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Finding the Fourth Proportional to 23,022.68, 31,771.02 and 13,591.16

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Solution

The fourth proportional to 23,022.68, 31,771.02 and 13,591.16 is: 18,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022.68 : 31,771.02 = 13,591.16 : x
  2. Step 2: Convert to fraction form
    23,022.68/31,771.02 = 13,591.16/x
  3. Step 3: Cross multiply
    23,022.68x = 31,771.02 × 13,591.16
  4. Step 4: Simplify right side
    23,022.68x = 431,805,016.18
  5. Step 5: Solve for x
    x = 431,805,016.18/23,022.68
  6. Step 6: Final answer
    x = 18,755.64

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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.