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Finding the Fourth Proportional to 24,269.84, 36,404.92 and 8,474.78

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Solution

The fourth proportional to 24,269.84, 36,404.92 and 8,474.78 is: 12,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269.84 : 36,404.92 = 8,474.78 : x
  2. Step 2: Convert to fraction form
    24,269.84/36,404.92 = 8,474.78/x
  3. Step 3: Cross multiply
    24,269.84x = 36,404.92 × 8,474.78
  4. Step 4: Simplify right side
    24,269.84x = 308,523,687.92
  5. Step 5: Solve for x
    x = 308,523,687.92/24,269.84
  6. Step 6: Final answer
    x = 12,712.23

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1.5x scale

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.