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Finding the Fourth Proportional to 24,722.76, 37,080.16 and 8,082.64

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Solution

The fourth proportional to 24,722.76, 37,080.16 and 8,082.64 is: 12,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,722.76 : 37,080.16 = 8,082.64 : x
  2. Step 2: Convert to fraction form
    24,722.76/37,080.16 = 8,082.64/x
  3. Step 3: Cross multiply
    24,722.76x = 37,080.16 × 8,082.64
  4. Step 4: Simplify right side
    24,722.76x = 299,705,584.42
  5. Step 5: Solve for x
    x = 299,705,584.42/24,722.76
  6. Step 6: Final answer
    x = 12,122.66

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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.