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Finding the Fourth Proportional to 24,377.38, 36,566.07 and 6,847.81

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Solution

The fourth proportional to 24,377.38, 36,566.07 and 6,847.81 is: 10,271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.38 : 36,566.07 = 6,847.81 : x
  2. Step 2: Convert to fraction form
    24,377.38/36,566.07 = 6,847.81/x
  3. Step 3: Cross multiply
    24,377.38x = 36,566.07 × 6,847.81
  4. Step 4: Simplify right side
    24,377.38x = 250,397,499.81
  5. Step 5: Solve for x
    x = 250,397,499.81/24,377.38
  6. Step 6: Final answer
    x = 10,271.72

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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.