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Finding the Fourth Proportional to 12,105.36, 16,680.52 and 8,329.68

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Solution

The fourth proportional to 12,105.36, 16,680.52 and 8,329.68 is: 11,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.36 : 16,680.52 = 8,329.68 : x
  2. Step 2: Convert to fraction form
    12,105.36/16,680.52 = 8,329.68/x
  3. Step 3: Cross multiply
    12,105.36x = 16,680.52 × 8,329.68
  4. Step 4: Simplify right side
    12,105.36x = 138,943,393.83
  5. Step 5: Solve for x
    x = 138,943,393.83/12,105.36
  6. Step 6: Final answer
    x = 11,477.84

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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.