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Finding the Fourth Proportional to 12,189.48, 16,821.18 and 6,884.16

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Solution

The fourth proportional to 12,189.48, 16,821.18 and 6,884.16 is: 9,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.48 : 16,821.18 = 6,884.16 : x
  2. Step 2: Convert to fraction form
    12,189.48/16,821.18 = 6,884.16/x
  3. Step 3: Cross multiply
    12,189.48x = 16,821.18 × 6,884.16
  4. Step 4: Simplify right side
    12,189.48x = 115,799,694.51
  5. Step 5: Solve for x
    x = 115,799,694.51/12,189.48
  6. Step 6: Final answer
    x = 9,499.97

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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.