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Finding the Fourth Proportional to 12,872.62, 17,766.12 and 8,157.34

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Solution

The fourth proportional to 12,872.62, 17,766.12 and 8,157.34 is: 11,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.62 : 17,766.12 = 8,157.34 : x
  2. Step 2: Convert to fraction form
    12,872.62/17,766.12 = 8,157.34/x
  3. Step 3: Cross multiply
    12,872.62x = 17,766.12 × 8,157.34
  4. Step 4: Simplify right side
    12,872.62x = 144,924,281.32
  5. Step 5: Solve for x
    x = 144,924,281.32/12,872.62
  6. Step 6: Final answer
    x = 11,258.34

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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.