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Finding the Fourth Proportional to 24,694.36, 37,049.86 and 7,830.13

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Solution

The fourth proportional to 24,694.36, 37,049.86 and 7,830.13 is: 11,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.36 : 37,049.86 = 7,830.13 : x
  2. Step 2: Convert to fraction form
    24,694.36/37,049.86 = 7,830.13/x
  3. Step 3: Cross multiply
    24,694.36x = 37,049.86 × 7,830.13
  4. Step 4: Simplify right side
    24,694.36x = 290,105,035.03
  5. Step 5: Solve for x
    x = 290,105,035.03/24,694.36
  6. Step 6: Final answer
    x = 11,747.83

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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.