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Finding the Fourth Proportional to 24,653.75, 36,982.67 and 8,013.42

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Solution

The fourth proportional to 24,653.75, 36,982.67 and 8,013.42 is: 12,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,653.75 : 36,982.67 = 8,013.42 : x
  2. Step 2: Convert to fraction form
    24,653.75/36,982.67 = 8,013.42/x
  3. Step 3: Cross multiply
    24,653.75x = 36,982.67 × 8,013.42
  4. Step 4: Simplify right side
    24,653.75x = 296,357,627.36
  5. Step 5: Solve for x
    x = 296,357,627.36/24,653.75
  6. Step 6: Final answer
    x = 12,020.80

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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.