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Finding the Fourth Proportional to 27,399.24, 41,101.48 and 7,677.74

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Solution

The fourth proportional to 27,399.24, 41,101.48 and 7,677.74 is: 11,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,399.24 : 41,101.48 = 7,677.74 : x
  2. Step 2: Convert to fraction form
    27,399.24/41,101.48 = 7,677.74/x
  3. Step 3: Cross multiply
    27,399.24x = 41,101.48 × 7,677.74
  4. Step 4: Simplify right side
    27,399.24x = 315,566,315.02
  5. Step 5: Solve for x
    x = 315,566,315.02/27,399.24
  6. Step 6: Final answer
    x = 11,517.34

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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.