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Finding the Fourth Proportional to 12,233.53, 16,881.98 and 7,198.07

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Solution

The fourth proportional to 12,233.53, 16,881.98 and 7,198.07 is: 9,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.53 : 16,881.98 = 7,198.07 : x
  2. Step 2: Convert to fraction form
    12,233.53/16,881.98 = 7,198.07/x
  3. Step 3: Cross multiply
    12,233.53x = 16,881.98 × 7,198.07
  4. Step 4: Simplify right side
    12,233.53x = 121,517,673.78
  5. Step 5: Solve for x
    x = 121,517,673.78/12,233.53
  6. Step 6: Final answer
    x = 9,933.17

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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.