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Finding the Fourth Proportional to 24,456.78, 36,690.77 and 8,874.41

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Solution

The fourth proportional to 24,456.78, 36,690.77 and 8,874.41 is: 13,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,456.78 : 36,690.77 = 8,874.41 : x
  2. Step 2: Convert to fraction form
    24,456.78/36,690.77 = 8,874.41/x
  3. Step 3: Cross multiply
    24,456.78x = 36,690.77 × 8,874.41
  4. Step 4: Simplify right side
    24,456.78x = 325,608,774.93
  5. Step 5: Solve for x
    x = 325,608,774.93/24,456.78
  6. Step 6: Final answer
    x = 13,313.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.