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Finding the Fourth Proportional to 20,098.84, 27,734.82 and 11,600.80

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Solution

The fourth proportional to 20,098.84, 27,734.82 and 11,600.80 is: 16,008.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.84 : 27,734.82 = 11,600.80 : x
  2. Step 2: Convert to fraction form
    20,098.84/27,734.82 = 11,600.80/x
  3. Step 3: Cross multiply
    20,098.84x = 27,734.82 × 11,600.80
  4. Step 4: Simplify right side
    20,098.84x = 321,746,099.86
  5. Step 5: Solve for x
    x = 321,746,099.86/20,098.84
  6. Step 6: Final answer
    x = 16,008.19

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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.