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Finding the Fourth Proportional to 20,052.30, 27,684.74 and 12,885.42

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Solution

The fourth proportional to 20,052.30, 27,684.74 and 12,885.42 is: 17,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,052.30 : 27,684.74 = 12,885.42 : x
  2. Step 2: Convert to fraction form
    20,052.30/27,684.74 = 12,885.42/x
  3. Step 3: Cross multiply
    20,052.30x = 27,684.74 × 12,885.42
  4. Step 4: Simplify right side
    20,052.30x = 356,729,502.49
  5. Step 5: Solve for x
    x = 356,729,502.49/20,052.30
  6. Step 6: Final answer
    x = 17,789.95

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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.