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Finding the Fourth Proportional to 12,331.50, 17,031.48 and 8,291.31

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Solution

The fourth proportional to 12,331.50, 17,031.48 and 8,291.31 is: 11,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.50 : 17,031.48 = 8,291.31 : x
  2. Step 2: Convert to fraction form
    12,331.50/17,031.48 = 8,291.31/x
  3. Step 3: Cross multiply
    12,331.50x = 17,031.48 × 8,291.31
  4. Step 4: Simplify right side
    12,331.50x = 141,213,280.44
  5. Step 5: Solve for x
    x = 141,213,280.44/12,331.50
  6. Step 6: Final answer
    x = 11,451.43

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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.