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Finding the Fourth Proportional to 27,171.42, 40,756.17 and 7,449.66

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Solution

The fourth proportional to 27,171.42, 40,756.17 and 7,449.66 is: 11,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,171.42 : 40,756.17 = 7,449.66 : x
  2. Step 2: Convert to fraction form
    27,171.42/40,756.17 = 7,449.66/x
  3. Step 3: Cross multiply
    27,171.42x = 40,756.17 × 7,449.66
  4. Step 4: Simplify right side
    27,171.42x = 303,619,609.40
  5. Step 5: Solve for x
    x = 303,619,609.40/27,171.42
  6. Step 6: Final answer
    x = 11,174.23

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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.