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Finding the Fourth Proportional to 24,723.68, 37,081.44 and 8,083.44

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Solution

The fourth proportional to 24,723.68, 37,081.44 and 8,083.44 is: 12,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,723.68 : 37,081.44 = 8,083.44 : x
  2. Step 2: Convert to fraction form
    24,723.68/37,081.44 = 8,083.44/x
  3. Step 3: Cross multiply
    24,723.68x = 37,081.44 × 8,083.44
  4. Step 4: Simplify right side
    24,723.68x = 299,745,595.35
  5. Step 5: Solve for x
    x = 299,745,595.35/24,723.68
  6. Step 6: Final answer
    x = 12,123.83

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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.