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Finding the Fourth Proportional to 13,832.71, 20,660.86 and 12,514.43

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Solution

The fourth proportional to 13,832.71, 20,660.86 and 12,514.43 is: 18,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.71 : 20,660.86 = 12,514.43 : x
  2. Step 2: Convert to fraction form
    13,832.71/20,660.86 = 12,514.43/x
  3. Step 3: Cross multiply
    13,832.71x = 20,660.86 × 12,514.43
  4. Step 4: Simplify right side
    13,832.71x = 258,558,886.21
  5. Step 5: Solve for x
    x = 258,558,886.21/13,832.71
  6. Step 6: Final answer
    x = 18,691.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.