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Finding the Fourth Proportional to 24,082.44, 36,114.34 and 8,284.48

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Solution

The fourth proportional to 24,082.44, 36,114.34 and 8,284.48 is: 12,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.44 : 36,114.34 = 8,284.48 : x
  2. Step 2: Convert to fraction form
    24,082.44/36,114.34 = 8,284.48/x
  3. Step 3: Cross multiply
    24,082.44x = 36,114.34 × 8,284.48
  4. Step 4: Simplify right side
    24,082.44x = 299,188,527.44
  5. Step 5: Solve for x
    x = 299,188,527.44/24,082.44
  6. Step 6: Final answer
    x = 12,423.51

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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.