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Finding the Fourth Proportional to 24,652.84, 36,960.81 and 8,002.94

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Solution

The fourth proportional to 24,652.84, 36,960.81 and 8,002.94 is: 11,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.84 : 36,960.81 = 8,002.94 : x
  2. Step 2: Convert to fraction form
    24,652.84/36,960.81 = 8,002.94/x
  3. Step 3: Cross multiply
    24,652.84x = 36,960.81 × 8,002.94
  4. Step 4: Simplify right side
    24,652.84x = 295,795,144.78
  5. Step 5: Solve for x
    x = 295,795,144.78/24,652.84
  6. Step 6: Final answer
    x = 11,998.42

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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.