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Finding the Fourth Proportional to 12,032.82, 16,604.73 and 6,727.46

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Solution

The fourth proportional to 12,032.82, 16,604.73 and 6,727.46 is: 9,283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.82 : 16,604.73 = 6,727.46 : x
  2. Step 2: Convert to fraction form
    12,032.82/16,604.73 = 6,727.46/x
  3. Step 3: Cross multiply
    12,032.82x = 16,604.73 × 6,727.46
  4. Step 4: Simplify right side
    12,032.82x = 111,707,573.86
  5. Step 5: Solve for x
    x = 111,707,573.86/12,032.82
  6. Step 6: Final answer
    x = 9,283.57

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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.