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Finding the Fourth Proportional to 17,974.92, 24,806.70 and 10,423.20

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Solution

The fourth proportional to 17,974.92, 24,806.70 and 10,423.20 is: 14,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974.92 : 24,806.70 = 10,423.20 : x
  2. Step 2: Convert to fraction form
    17,974.92/24,806.70 = 10,423.20/x
  3. Step 3: Cross multiply
    17,974.92x = 24,806.70 × 10,423.20
  4. Step 4: Simplify right side
    17,974.92x = 258,565,195.44
  5. Step 5: Solve for x
    x = 258,565,195.44/17,974.92
  6. Step 6: Final answer
    x = 14,384.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.