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Finding the Fourth Proportional to 24,674.94, 37,012.84 and 8,034.90

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Solution

The fourth proportional to 24,674.94, 37,012.84 and 8,034.90 is: 12,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,674.94 : 37,012.84 = 8,034.90 : x
  2. Step 2: Convert to fraction form
    24,674.94/37,012.84 = 8,034.90/x
  3. Step 3: Cross multiply
    24,674.94x = 37,012.84 × 8,034.90
  4. Step 4: Simplify right side
    24,674.94x = 297,394,468.12
  5. Step 5: Solve for x
    x = 297,394,468.12/24,674.94
  6. Step 6: Final answer
    x = 12,052.49

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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.