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Finding the Fourth Proportional to 12,029.96, 16,601.36 and 6,724.77

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Solution

The fourth proportional to 12,029.96, 16,601.36 and 6,724.77 is: 9,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.96 : 16,601.36 = 6,724.77 : x
  2. Step 2: Convert to fraction form
    12,029.96/16,601.36 = 6,724.77/x
  3. Step 3: Cross multiply
    12,029.96x = 16,601.36 × 6,724.77
  4. Step 4: Simplify right side
    12,029.96x = 111,640,327.69
  5. Step 5: Solve for x
    x = 111,640,327.69/12,029.96
  6. Step 6: Final answer
    x = 9,280.19

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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.