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Finding the Fourth Proportional to 12,308.33, 16,982.75 and 7,269.11

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Solution

The fourth proportional to 12,308.33, 16,982.75 and 7,269.11 is: 10,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.33 : 16,982.75 = 7,269.11 : x
  2. Step 2: Convert to fraction form
    12,308.33/16,982.75 = 7,269.11/x
  3. Step 3: Cross multiply
    12,308.33x = 16,982.75 × 7,269.11
  4. Step 4: Simplify right side
    12,308.33x = 123,449,356.59
  5. Step 5: Solve for x
    x = 123,449,356.59/12,308.33
  6. Step 6: Final answer
    x = 10,029.74

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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.