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Finding the Fourth Proportional to 27,442.97, 41,164.65 and 7,723.52

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Solution

The fourth proportional to 27,442.97, 41,164.65 and 7,723.52 is: 11,585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442.97 : 41,164.65 = 7,723.52 : x
  2. Step 2: Convert to fraction form
    27,442.97/41,164.65 = 7,723.52/x
  3. Step 3: Cross multiply
    27,442.97x = 41,164.65 × 7,723.52
  4. Step 4: Simplify right side
    27,442.97x = 317,935,997.57
  5. Step 5: Solve for x
    x = 317,935,997.57/27,442.97
  6. Step 6: Final answer
    x = 11,585.33

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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.