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Finding the Fourth Proportional to 27,182.34, 40,767.12 and 7,462.44

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Solution

The fourth proportional to 27,182.34, 40,767.12 and 7,462.44 is: 11,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.34 : 40,767.12 = 7,462.44 : x
  2. Step 2: Convert to fraction form
    27,182.34/40,767.12 = 7,462.44/x
  3. Step 3: Cross multiply
    27,182.34x = 40,767.12 × 7,462.44
  4. Step 4: Simplify right side
    27,182.34x = 304,222,186.97
  5. Step 5: Solve for x
    x = 304,222,186.97/27,182.34
  6. Step 6: Final answer
    x = 11,191.91

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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.