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Finding the Fourth Proportional to 12,531.31, 17,311.93 and 8,234.56

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Solution

The fourth proportional to 12,531.31, 17,311.93 and 8,234.56 is: 11,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.31 : 17,311.93 = 8,234.56 : x
  2. Step 2: Convert to fraction form
    12,531.31/17,311.93 = 8,234.56/x
  3. Step 3: Cross multiply
    12,531.31x = 17,311.93 × 8,234.56
  4. Step 4: Simplify right side
    12,531.31x = 142,556,127.35
  5. Step 5: Solve for x
    x = 142,556,127.35/12,531.31
  6. Step 6: Final answer
    x = 11,376.00

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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.