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Finding the Fourth Proportional to 12,189.30, 16,821.02 and 6,811.82

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Solution

The fourth proportional to 12,189.30, 16,821.02 and 6,811.82 is: 9,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.30 : 16,821.02 = 6,811.82 : x
  2. Step 2: Convert to fraction form
    12,189.30/16,821.02 = 6,811.82/x
  3. Step 3: Cross multiply
    12,189.30x = 16,821.02 × 6,811.82
  4. Step 4: Simplify right side
    12,189.30x = 114,581,819.54
  5. Step 5: Solve for x
    x = 114,581,819.54/12,189.30
  6. Step 6: Final answer
    x = 9,400.20

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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.