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Finding the Fourth Proportional to 12,032.51, 16,605.15 and 6,727.28

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Solution

The fourth proportional to 12,032.51, 16,605.15 and 6,727.28 is: 9,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.51 : 16,605.15 = 6,727.28 : x
  2. Step 2: Convert to fraction form
    12,032.51/16,605.15 = 6,727.28/x
  3. Step 3: Cross multiply
    12,032.51x = 16,605.15 × 6,727.28
  4. Step 4: Simplify right side
    12,032.51x = 111,707,493.49
  5. Step 5: Solve for x
    x = 111,707,493.49/12,032.51
  6. Step 6: Final answer
    x = 9,283.81

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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.