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Finding the Fourth Proportional to 20,198.57, 27,878.65 and 13,112.69

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Solution

The fourth proportional to 20,198.57, 27,878.65 and 13,112.69 is: 18,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.57 : 27,878.65 = 13,112.69 : x
  2. Step 2: Convert to fraction form
    20,198.57/27,878.65 = 13,112.69/x
  3. Step 3: Cross multiply
    20,198.57x = 27,878.65 × 13,112.69
  4. Step 4: Simplify right side
    20,198.57x = 365,563,922.89
  5. Step 5: Solve for x
    x = 365,563,922.89/20,198.57
  6. Step 6: Final answer
    x = 18,098.51

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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.