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Finding the Fourth Proportional to 27,422.96, 41,077.02 and 17,511.80

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Solution

The fourth proportional to 27,422.96, 41,077.02 and 17,511.80 is: 26,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.96 : 41,077.02 = 17,511.80 : x
  2. Step 2: Convert to fraction form
    27,422.96/41,077.02 = 17,511.80/x
  3. Step 3: Cross multiply
    27,422.96x = 41,077.02 × 17,511.80
  4. Step 4: Simplify right side
    27,422.96x = 719,332,419.12
  5. Step 5: Solve for x
    x = 719,332,419.12/27,422.96
  6. Step 6: Final answer
    x = 26,231.03

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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.