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Finding the Fourth Proportional to 27,753.92, 41,599.68 and 13,684.17

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Solution

The fourth proportional to 27,753.92, 41,599.68 and 13,684.17 is: 20,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,753.92 : 41,599.68 = 13,684.17 : x
  2. Step 2: Convert to fraction form
    27,753.92/41,599.68 = 13,684.17/x
  3. Step 3: Cross multiply
    27,753.92x = 41,599.68 × 13,684.17
  4. Step 4: Simplify right side
    27,753.92x = 569,257,197.75
  5. Step 5: Solve for x
    x = 569,257,197.75/27,753.92
  6. Step 6: Final answer
    x = 20,510.87

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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.