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Finding the Fourth Proportional to 12,019.24, 16,582.91 and 6,982.48

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Solution

The fourth proportional to 12,019.24, 16,582.91 and 6,982.48 is: 9,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.24 : 16,582.91 = 6,982.48 : x
  2. Step 2: Convert to fraction form
    12,019.24/16,582.91 = 6,982.48/x
  3. Step 3: Cross multiply
    12,019.24x = 16,582.91 × 6,982.48
  4. Step 4: Simplify right side
    12,019.24x = 115,789,837.42
  5. Step 5: Solve for x
    x = 115,789,837.42/12,019.24
  6. Step 6: Final answer
    x = 9,633.71

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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.