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Finding the Fourth Proportional to 17,578.92, 24,251.94 and 12,541.80

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Solution

The fourth proportional to 17,578.92, 24,251.94 and 12,541.80 is: 17,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.92 : 24,251.94 = 12,541.80 : x
  2. Step 2: Convert to fraction form
    17,578.92/24,251.94 = 12,541.80/x
  3. Step 3: Cross multiply
    17,578.92x = 24,251.94 × 12,541.80
  4. Step 4: Simplify right side
    17,578.92x = 304,162,981.09
  5. Step 5: Solve for x
    x = 304,162,981.09/17,578.92
  6. Step 6: Final answer
    x = 17,302.71

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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.