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Finding the Fourth Proportional to 27,182.48, 40,767.39 and 7,462.62

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Solution

The fourth proportional to 27,182.48, 40,767.39 and 7,462.62 is: 11,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.48 : 40,767.39 = 7,462.62 : x
  2. Step 2: Convert to fraction form
    27,182.48/40,767.39 = 7,462.62/x
  3. Step 3: Cross multiply
    27,182.48x = 40,767.39 × 7,462.62
  4. Step 4: Simplify right side
    27,182.48x = 304,231,539.96
  5. Step 5: Solve for x
    x = 304,231,539.96/27,182.48
  6. Step 6: Final answer
    x = 11,192.19

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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.