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Finding the Fourth Proportional to 20,098.90, 27,728.49 and 11,597.14

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Solution

The fourth proportional to 20,098.90, 27,728.49 and 11,597.14 is: 15,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.90 : 27,728.49 = 11,597.14 : x
  2. Step 2: Convert to fraction form
    20,098.90/27,728.49 = 11,597.14/x
  3. Step 3: Cross multiply
    20,098.90x = 27,728.49 × 11,597.14
  4. Step 4: Simplify right side
    20,098.90x = 321,571,180.52
  5. Step 5: Solve for x
    x = 321,571,180.52/20,098.90
  6. Step 6: Final answer
    x = 15,999.44

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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.