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Finding the Fourth Proportional to 24,230.80, 36,319.20 and 9,434.80

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Solution

The fourth proportional to 24,230.80, 36,319.20 and 9,434.80 is: 14,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.80 : 36,319.20 = 9,434.80 : x
  2. Step 2: Convert to fraction form
    24,230.80/36,319.20 = 9,434.80/x
  3. Step 3: Cross multiply
    24,230.80x = 36,319.20 × 9,434.80
  4. Step 4: Simplify right side
    24,230.80x = 342,664,388.16
  5. Step 5: Solve for x
    x = 342,664,388.16/24,230.80
  6. Step 6: Final answer
    x = 14,141.69

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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.