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Finding the Fourth Proportional to 12,083.31, 16,687.64 and 8,316.20

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Solution

The fourth proportional to 12,083.31, 16,687.64 and 8,316.20 is: 11,485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.31 : 16,687.64 = 8,316.20 : x
  2. Step 2: Convert to fraction form
    12,083.31/16,687.64 = 8,316.20/x
  3. Step 3: Cross multiply
    12,083.31x = 16,687.64 × 8,316.20
  4. Step 4: Simplify right side
    12,083.31x = 138,777,626.75
  5. Step 5: Solve for x
    x = 138,777,626.75/12,083.31
  6. Step 6: Final answer
    x = 11,485.07

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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.