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Finding the Fourth Proportional to 24,494.80, 36,747.60 and 7,855.60

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Solution

The fourth proportional to 24,494.80, 36,747.60 and 7,855.60 is: 11,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.80 : 36,747.60 = 7,855.60 : x
  2. Step 2: Convert to fraction form
    24,494.80/36,747.60 = 7,855.60/x
  3. Step 3: Cross multiply
    24,494.80x = 36,747.60 × 7,855.60
  4. Step 4: Simplify right side
    24,494.80x = 288,674,446.56
  5. Step 5: Solve for x
    x = 288,674,446.56/24,494.80
  6. Step 6: Final answer
    x = 11,785.13

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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.