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Finding the Fourth Proportional to 24,472.80, 36,673.17 and 10,947.57

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Solution

The fourth proportional to 24,472.80, 36,673.17 and 10,947.57 is: 16,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.80 : 36,673.17 = 10,947.57 : x
  2. Step 2: Convert to fraction form
    24,472.80/36,673.17 = 10,947.57/x
  3. Step 3: Cross multiply
    24,472.80x = 36,673.17 × 10,947.57
  4. Step 4: Simplify right side
    24,472.80x = 401,482,095.70
  5. Step 5: Solve for x
    x = 401,482,095.70/24,472.80
  6. Step 6: Final answer
    x = 16,405.24

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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.