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Finding the Fourth Proportional to 12,012.81, 16,578.05 and 6,707.85

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Solution

The fourth proportional to 12,012.81, 16,578.05 and 6,707.85 is: 9,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.81 : 16,578.05 = 6,707.85 : x
  2. Step 2: Convert to fraction form
    12,012.81/16,578.05 = 6,707.85/x
  3. Step 3: Cross multiply
    12,012.81x = 16,578.05 × 6,707.85
  4. Step 4: Simplify right side
    12,012.81x = 111,203,039.15
  5. Step 5: Solve for x
    x = 111,203,039.15/12,012.81
  6. Step 6: Final answer
    x = 9,257.04

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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.