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Finding the Fourth Proportional to 12,189.59, 16,821.66 and 6,884.30

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Solution

The fourth proportional to 12,189.59, 16,821.66 and 6,884.30 is: 9,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.59 : 16,821.66 = 6,884.30 : x
  2. Step 2: Convert to fraction form
    12,189.59/16,821.66 = 6,884.30/x
  3. Step 3: Cross multiply
    12,189.59x = 16,821.66 × 6,884.30
  4. Step 4: Simplify right side
    12,189.59x = 115,805,269.83
  5. Step 5: Solve for x
    x = 115,805,269.83/12,189.59
  6. Step 6: Final answer
    x = 9,500.35

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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.