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Finding the Fourth Proportional to 20,098.30, 27,735.78 and 11,600.77

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Solution

The fourth proportional to 20,098.30, 27,735.78 and 11,600.77 is: 16,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.30 : 27,735.78 = 11,600.77 : x
  2. Step 2: Convert to fraction form
    20,098.30/27,735.78 = 11,600.77/x
  3. Step 3: Cross multiply
    20,098.30x = 27,735.78 × 11,600.77
  4. Step 4: Simplify right side
    20,098.30x = 321,756,207.87
  5. Step 5: Solve for x
    x = 321,756,207.87/20,098.30
  6. Step 6: Final answer
    x = 16,009.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.