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Finding the Fourth Proportional to 24,231.80, 36,320.70 and 9,435.80

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Solution

The fourth proportional to 24,231.80, 36,320.70 and 9,435.80 is: 14,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.80 : 36,320.70 = 9,435.80 : x
  2. Step 2: Convert to fraction form
    24,231.80/36,320.70 = 9,435.80/x
  3. Step 3: Cross multiply
    24,231.80x = 36,320.70 × 9,435.80
  4. Step 4: Simplify right side
    24,231.80x = 342,714,861.06
  5. Step 5: Solve for x
    x = 342,714,861.06/24,231.80
  6. Step 6: Final answer
    x = 14,143.19

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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.