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Finding the Fourth Proportional to 12,773.82, 17,631.36 and 8,297.34

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Solution

The fourth proportional to 12,773.82, 17,631.36 and 8,297.34 is: 11,452.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.82 : 17,631.36 = 8,297.34 : x
  2. Step 2: Convert to fraction form
    12,773.82/17,631.36 = 8,297.34/x
  3. Step 3: Cross multiply
    12,773.82x = 17,631.36 × 8,297.34
  4. Step 4: Simplify right side
    12,773.82x = 146,293,388.58
  5. Step 5: Solve for x
    x = 146,293,388.58/12,773.82
  6. Step 6: Final answer
    x = 11,452.60

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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.