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Finding the Fourth Proportional to 24,078.72, 36,109.09 and 8,279.28

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Solution

The fourth proportional to 24,078.72, 36,109.09 and 8,279.28 is: 12,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078.72 : 36,109.09 = 8,279.28 : x
  2. Step 2: Convert to fraction form
    24,078.72/36,109.09 = 8,279.28/x
  3. Step 3: Cross multiply
    24,078.72x = 36,109.09 × 8,279.28
  4. Step 4: Simplify right side
    24,078.72x = 298,957,266.66
  5. Step 5: Solve for x
    x = 298,957,266.66/24,078.72
  6. Step 6: Final answer
    x = 12,415.83

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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.