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Finding the Fourth Proportional to 20,197.32, 27,868.02 and 12,741

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Solution

The fourth proportional to 20,197.32, 27,868.02 and 12,741 is: 17,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.32 : 27,868.02 = 12,741 : x
  2. Step 2: Convert to fraction form
    20,197.32/27,868.02 = 12,741/x
  3. Step 3: Cross multiply
    20,197.32x = 27,868.02 × 12,741
  4. Step 4: Simplify right side
    20,197.32x = 355,066,442.82
  5. Step 5: Solve for x
    x = 355,066,442.82/20,197.32
  6. Step 6: Final answer
    x = 17,579.88

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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.