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Finding the Fourth Proportional to 13,714.08, 20,563.20 and 12,073.92

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Solution

The fourth proportional to 13,714.08, 20,563.20 and 12,073.92 is: 18,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.08 : 20,563.20 = 12,073.92 : x
  2. Step 2: Convert to fraction form
    13,714.08/20,563.20 = 12,073.92/x
  3. Step 3: Cross multiply
    13,714.08x = 20,563.20 × 12,073.92
  4. Step 4: Simplify right side
    13,714.08x = 248,278,431.74
  5. Step 5: Solve for x
    x = 248,278,431.74/13,714.08
  6. Step 6: Final answer
    x = 18,103.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.