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Finding the Fourth Proportional to 24,694.92, 37,046.02 and 7,162.46

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Solution

The fourth proportional to 24,694.92, 37,046.02 and 7,162.46 is: 10,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.92 : 37,046.02 = 7,162.46 : x
  2. Step 2: Convert to fraction form
    24,694.92/37,046.02 = 7,162.46/x
  3. Step 3: Cross multiply
    24,694.92x = 37,046.02 × 7,162.46
  4. Step 4: Simplify right side
    24,694.92x = 265,340,636.41
  5. Step 5: Solve for x
    x = 265,340,636.41/24,694.92
  6. Step 6: Final answer
    x = 10,744.75

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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.