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Finding the Fourth Proportional to 12,233.41, 16,881.15 and 7,197.82

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Solution

The fourth proportional to 12,233.41, 16,881.15 and 7,197.82 is: 9,932.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.41 : 16,881.15 = 7,197.82 : x
  2. Step 2: Convert to fraction form
    12,233.41/16,881.15 = 7,197.82/x
  3. Step 3: Cross multiply
    12,233.41x = 16,881.15 × 7,197.82
  4. Step 4: Simplify right side
    12,233.41x = 121,507,479.09
  5. Step 5: Solve for x
    x = 121,507,479.09/12,233.41
  6. Step 6: Final answer
    x = 9,932.43

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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.