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Finding the Fourth Proportional to 12,032.29, 16,604.22 and 6,727.60

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Solution

The fourth proportional to 12,032.29, 16,604.22 and 6,727.60 is: 9,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.29 : 16,604.22 = 6,727.60 : x
  2. Step 2: Convert to fraction form
    12,032.29/16,604.22 = 6,727.60/x
  3. Step 3: Cross multiply
    12,032.29x = 16,604.22 × 6,727.60
  4. Step 4: Simplify right side
    12,032.29x = 111,706,550.47
  5. Step 5: Solve for x
    x = 111,706,550.47/12,032.29
  6. Step 6: Final answer
    x = 9,283.90

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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.