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Finding the Fourth Proportional to 12,016.42, 16,582.49 and 6,711.31

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Solution

The fourth proportional to 12,016.42, 16,582.49 and 6,711.31 is: 9,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.42 : 16,582.49 = 6,711.31 : x
  2. Step 2: Convert to fraction form
    12,016.42/16,582.49 = 6,711.31/x
  3. Step 3: Cross multiply
    12,016.42x = 16,582.49 × 6,711.31
  4. Step 4: Simplify right side
    12,016.42x = 111,290,197.41
  5. Step 5: Solve for x
    x = 111,290,197.41/12,016.42
  6. Step 6: Final answer
    x = 9,261.51

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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.