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Finding the Fourth Proportional to 24,604.14, 36,912.39 and 7,074

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Solution

The fourth proportional to 24,604.14, 36,912.39 and 7,074 is: 10,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,604.14 : 36,912.39 = 7,074 : x
  2. Step 2: Convert to fraction form
    24,604.14/36,912.39 = 7,074/x
  3. Step 3: Cross multiply
    24,604.14x = 36,912.39 × 7,074
  4. Step 4: Simplify right side
    24,604.14x = 261,118,246.86
  5. Step 5: Solve for x
    x = 261,118,246.86/24,604.14
  6. Step 6: Final answer
    x = 10,612.78

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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.