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Finding the Fourth Proportional to 20,097.84, 27,733.44 and 11,599.80

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Solution

The fourth proportional to 20,097.84, 27,733.44 and 11,599.80 is: 16,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.84 : 27,733.44 = 11,599.80 : x
  2. Step 2: Convert to fraction form
    20,097.84/27,733.44 = 11,599.80/x
  3. Step 3: Cross multiply
    20,097.84x = 27,733.44 × 11,599.80
  4. Step 4: Simplify right side
    20,097.84x = 321,702,357.31
  5. Step 5: Solve for x
    x = 321,702,357.31/20,097.84
  6. Step 6: Final answer
    x = 16,006.81

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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.