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Finding the Fourth Proportional to 12,032.54, 16,605.64 and 6,727.71

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Solution

The fourth proportional to 12,032.54, 16,605.64 and 6,727.71 is: 9,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.54 : 16,605.64 = 6,727.71 : x
  2. Step 2: Convert to fraction form
    12,032.54/16,605.64 = 6,727.71/x
  3. Step 3: Cross multiply
    12,032.54x = 16,605.64 × 6,727.71
  4. Step 4: Simplify right side
    12,032.54x = 111,717,930.28
  5. Step 5: Solve for x
    x = 111,717,930.28/12,032.54
  6. Step 6: Final answer
    x = 9,284.65

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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.