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Finding the Fourth Proportional to 12,229.25, 16,876.63 and 6,852.08

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Solution

The fourth proportional to 12,229.25, 16,876.63 and 6,852.08 is: 9,456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.25 : 16,876.63 = 6,852.08 : x
  2. Step 2: Convert to fraction form
    12,229.25/16,876.63 = 6,852.08/x
  3. Step 3: Cross multiply
    12,229.25x = 16,876.63 × 6,852.08
  4. Step 4: Simplify right side
    12,229.25x = 115,639,936.17
  5. Step 5: Solve for x
    x = 115,639,936.17/12,229.25
  6. Step 6: Final answer
    x = 9,456.02

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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.