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Finding the Fourth Proportional to 24,614.12, 36,917.18 and 7,079.96

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Solution

The fourth proportional to 24,614.12, 36,917.18 and 7,079.96 is: 10,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,614.12 : 36,917.18 = 7,079.96 : x
  2. Step 2: Convert to fraction form
    24,614.12/36,917.18 = 7,079.96/x
  3. Step 3: Cross multiply
    24,614.12x = 36,917.18 × 7,079.96
  4. Step 4: Simplify right side
    24,614.12x = 261,372,157.71
  5. Step 5: Solve for x
    x = 261,372,157.71/24,614.12
  6. Step 6: Final answer
    x = 10,618.79

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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.