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Finding the Fourth Proportional to 27,187.38, 40,774.59 and 7,464.42

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Solution

The fourth proportional to 27,187.38, 40,774.59 and 7,464.42 is: 11,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,187.38 : 40,774.59 = 7,464.42 : x
  2. Step 2: Convert to fraction form
    27,187.38/40,774.59 = 7,464.42/x
  3. Step 3: Cross multiply
    27,187.38x = 40,774.59 × 7,464.42
  4. Step 4: Simplify right side
    27,187.38x = 304,358,665.09
  5. Step 5: Solve for x
    x = 304,358,665.09/27,187.38
  6. Step 6: Final answer
    x = 11,194.85

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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.