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Finding the Fourth Proportional to 12,198.56, 16,831.68 and 7,723.04

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Solution

The fourth proportional to 12,198.56, 16,831.68 and 7,723.04 is: 10,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.56 : 16,831.68 = 7,723.04 : x
  2. Step 2: Convert to fraction form
    12,198.56/16,831.68 = 7,723.04/x
  3. Step 3: Cross multiply
    12,198.56x = 16,831.68 × 7,723.04
  4. Step 4: Simplify right side
    12,198.56x = 129,991,737.91
  5. Step 5: Solve for x
    x = 129,991,737.91/12,198.56
  6. Step 6: Final answer
    x = 10,656.32

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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.