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Finding the Fourth Proportional to 12,771, 17,612.64 and 8,290.49

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Solution

The fourth proportional to 12,771, 17,612.64 and 8,290.49 is: 11,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771 : 17,612.64 = 8,290.49 : x
  2. Step 2: Convert to fraction form
    12,771/17,612.64 = 8,290.49/x
  3. Step 3: Cross multiply
    12,771x = 17,612.64 × 8,290.49
  4. Step 4: Simplify right side
    12,771x = 146,017,327.73
  5. Step 5: Solve for x
    x = 146,017,327.73/12,771
  6. Step 6: Final answer
    x = 11,433.51

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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.