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Finding the Fourth Proportional to 20,199.74, 27,868.10 and 20,168.55

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Solution

The fourth proportional to 20,199.74, 27,868.10 and 20,168.55 is: 27,825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.74 : 27,868.10 = 20,168.55 : x
  2. Step 2: Convert to fraction form
    20,199.74/27,868.10 = 20,168.55/x
  3. Step 3: Cross multiply
    20,199.74x = 27,868.10 × 20,168.55
  4. Step 4: Simplify right side
    20,199.74x = 562,059,067.41
  5. Step 5: Solve for x
    x = 562,059,067.41/20,199.74
  6. Step 6: Final answer
    x = 27,825.07

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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.