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Finding the Fourth Proportional to 13,815.56, 20,714.16 and 8,255

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Solution

The fourth proportional to 13,815.56, 20,714.16 and 8,255 is: 12,377.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.56 : 20,714.16 = 8,255 : x
  2. Step 2: Convert to fraction form
    13,815.56/20,714.16 = 8,255/x
  3. Step 3: Cross multiply
    13,815.56x = 20,714.16 × 8,255
  4. Step 4: Simplify right side
    13,815.56x = 170,995,390.80
  5. Step 5: Solve for x
    x = 170,995,390.80/13,815.56
  6. Step 6: Final answer
    x = 12,377.01

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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.