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Finding the Fourth Proportional to 24,315.35, 36,481.60 and 8,524.78

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Solution

The fourth proportional to 24,315.35, 36,481.60 and 8,524.78 is: 12,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315.35 : 36,481.60 = 8,524.78 : x
  2. Step 2: Convert to fraction form
    24,315.35/36,481.60 = 8,524.78/x
  3. Step 3: Cross multiply
    24,315.35x = 36,481.60 × 8,524.78
  4. Step 4: Simplify right side
    24,315.35x = 310,997,533.50
  5. Step 5: Solve for x
    x = 310,997,533.50/24,315.35
  6. Step 6: Final answer
    x = 12,790.17

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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.