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Finding the Fourth Proportional to 27,078.86, 40,606.67 and 9,311.30

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Solution

The fourth proportional to 27,078.86, 40,606.67 and 9,311.30 is: 13,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,078.86 : 40,606.67 = 9,311.30 : x
  2. Step 2: Convert to fraction form
    27,078.86/40,606.67 = 9,311.30/x
  3. Step 3: Cross multiply
    27,078.86x = 40,606.67 × 9,311.30
  4. Step 4: Simplify right side
    27,078.86x = 378,101,034.93
  5. Step 5: Solve for x
    x = 378,101,034.93/27,078.86
  6. Step 6: Final answer
    x = 13,962.96

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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.