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Finding the Fourth Proportional to 27,191.94, 40,781.16 and 7,469.52

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Solution

The fourth proportional to 27,191.94, 40,781.16 and 7,469.52 is: 11,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,191.94 : 40,781.16 = 7,469.52 : x
  2. Step 2: Convert to fraction form
    27,191.94/40,781.16 = 7,469.52/x
  3. Step 3: Cross multiply
    27,191.94x = 40,781.16 × 7,469.52
  4. Step 4: Simplify right side
    27,191.94x = 304,615,690.24
  5. Step 5: Solve for x
    x = 304,615,690.24/27,191.94
  6. Step 6: Final answer
    x = 11,202.43

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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.