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Finding the Fourth Proportional to 13,714.52, 20,568.70 and 8,169.45

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Solution

The fourth proportional to 13,714.52, 20,568.70 and 8,169.45 is: 12,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.52 : 20,568.70 = 8,169.45 : x
  2. Step 2: Convert to fraction form
    13,714.52/20,568.70 = 8,169.45/x
  3. Step 3: Cross multiply
    13,714.52x = 20,568.70 × 8,169.45
  4. Step 4: Simplify right side
    13,714.52x = 168,034,966.22
  5. Step 5: Solve for x
    x = 168,034,966.22/13,714.52
  6. Step 6: Final answer
    x = 12,252.34

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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.