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Finding the Fourth Proportional to 24,333.68, 36,507.01 and 7,694.03

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Solution

The fourth proportional to 24,333.68, 36,507.01 and 7,694.03 is: 11,543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,333.68 : 36,507.01 = 7,694.03 : x
  2. Step 2: Convert to fraction form
    24,333.68/36,507.01 = 7,694.03/x
  3. Step 3: Cross multiply
    24,333.68x = 36,507.01 × 7,694.03
  4. Step 4: Simplify right side
    24,333.68x = 280,885,847.62
  5. Step 5: Solve for x
    x = 280,885,847.62/24,333.68
  6. Step 6: Final answer
    x = 11,543.09

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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.