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Finding the Fourth Proportional to 24,469.85, 36,707.20 and 7,825.70

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Solution

The fourth proportional to 24,469.85, 36,707.20 and 7,825.70 is: 11,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469.85 : 36,707.20 = 7,825.70 : x
  2. Step 2: Convert to fraction form
    24,469.85/36,707.20 = 7,825.70/x
  3. Step 3: Cross multiply
    24,469.85x = 36,707.20 × 7,825.70
  4. Step 4: Simplify right side
    24,469.85x = 287,259,535.04
  5. Step 5: Solve for x
    x = 287,259,535.04/24,469.85
  6. Step 6: Final answer
    x = 11,739.33

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1.5x scale

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.