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Finding the Fourth Proportional to 24,408.77, 36,613.17 and 6,878.61

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Solution

The fourth proportional to 24,408.77, 36,613.17 and 6,878.61 is: 10,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,408.77 : 36,613.17 = 6,878.61 : x
  2. Step 2: Convert to fraction form
    24,408.77/36,613.17 = 6,878.61/x
  3. Step 3: Cross multiply
    24,408.77x = 36,613.17 × 6,878.61
  4. Step 4: Simplify right side
    24,408.77x = 251,847,717.29
  5. Step 5: Solve for x
    x = 251,847,717.29/24,408.77
  6. Step 6: Final answer
    x = 10,317.92

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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.