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Finding the Fourth Proportional to 12,084.31, 16,689.02 and 8,317.20

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Solution

The fourth proportional to 12,084.31, 16,689.02 and 8,317.20 is: 11,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.31 : 16,689.02 = 8,317.20 : x
  2. Step 2: Convert to fraction form
    12,084.31/16,689.02 = 8,317.20/x
  3. Step 3: Cross multiply
    12,084.31x = 16,689.02 × 8,317.20
  4. Step 4: Simplify right side
    12,084.31x = 138,805,917.14
  5. Step 5: Solve for x
    x = 138,805,917.14/12,084.31
  6. Step 6: Final answer
    x = 11,486.46

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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.