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Finding the Fourth Proportional to 20,200.78, 27,866.64 and 11,812.42

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Solution

The fourth proportional to 20,200.78, 27,866.64 and 11,812.42 is: 16,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.78 : 27,866.64 = 11,812.42 : x
  2. Step 2: Convert to fraction form
    20,200.78/27,866.64 = 11,812.42/x
  3. Step 3: Cross multiply
    20,200.78x = 27,866.64 × 11,812.42
  4. Step 4: Simplify right side
    20,200.78x = 329,172,455.67
  5. Step 5: Solve for x
    x = 329,172,455.67/20,200.78
  6. Step 6: Final answer
    x = 16,295.04

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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.