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Finding the Fourth Proportional to 12,057.12, 16,638.19 and 6,679.40

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Solution

The fourth proportional to 12,057.12, 16,638.19 and 6,679.40 is: 9,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.12 : 16,638.19 = 6,679.40 : x
  2. Step 2: Convert to fraction form
    12,057.12/16,638.19 = 6,679.40/x
  3. Step 3: Cross multiply
    12,057.12x = 16,638.19 × 6,679.40
  4. Step 4: Simplify right side
    12,057.12x = 111,133,126.29
  5. Step 5: Solve for x
    x = 111,133,126.29/12,057.12
  6. Step 6: Final answer
    x = 9,217.22

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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.