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Finding the Fourth Proportional to 24,843.59, 37,269.08 and 8,205.38

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Solution

The fourth proportional to 24,843.59, 37,269.08 and 8,205.38 is: 12,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.59 : 37,269.08 = 8,205.38 : x
  2. Step 2: Convert to fraction form
    24,843.59/37,269.08 = 8,205.38/x
  3. Step 3: Cross multiply
    24,843.59x = 37,269.08 × 8,205.38
  4. Step 4: Simplify right side
    24,843.59x = 305,806,963.65
  5. Step 5: Solve for x
    x = 305,806,963.65/24,843.59
  6. Step 6: Final answer
    x = 12,309.29

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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.