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Finding the Fourth Proportional to 24,389.92, 36,581.14 and 7,747.79

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Solution

The fourth proportional to 24,389.92, 36,581.14 and 7,747.79 is: 11,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,389.92 : 36,581.14 = 7,747.79 : x
  2. Step 2: Convert to fraction form
    24,389.92/36,581.14 = 7,747.79/x
  3. Step 3: Cross multiply
    24,389.92x = 36,581.14 × 7,747.79
  4. Step 4: Simplify right side
    24,389.92x = 283,422,990.68
  5. Step 5: Solve for x
    x = 283,422,990.68/24,389.92
  6. Step 6: Final answer
    x = 11,620.50

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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.