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Finding the Fourth Proportional to 27,723.71, 41,591.37 and 9,002.27

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Solution

The fourth proportional to 27,723.71, 41,591.37 and 9,002.27 is: 13,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,723.71 : 41,591.37 = 9,002.27 : x
  2. Step 2: Convert to fraction form
    27,723.71/41,591.37 = 9,002.27/x
  3. Step 3: Cross multiply
    27,723.71x = 41,591.37 × 9,002.27
  4. Step 4: Simplify right side
    27,723.71x = 374,416,534.45
  5. Step 5: Solve for x
    x = 374,416,534.45/27,723.71
  6. Step 6: Final answer
    x = 13,505.28

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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.