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Finding the Fourth Proportional to 24,416.70, 36,626.85 and 8,832.30

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Solution

The fourth proportional to 24,416.70, 36,626.85 and 8,832.30 is: 13,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.70 : 36,626.85 = 8,832.30 : x
  2. Step 2: Convert to fraction form
    24,416.70/36,626.85 = 8,832.30/x
  3. Step 3: Cross multiply
    24,416.70x = 36,626.85 × 8,832.30
  4. Step 4: Simplify right side
    24,416.70x = 323,499,327.26
  5. Step 5: Solve for x
    x = 323,499,327.26/24,416.70
  6. Step 6: Final answer
    x = 13,249.10

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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.