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Finding the Fourth Proportional to 12,222.81, 16,867.98 and 6,917.31

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Solution

The fourth proportional to 12,222.81, 16,867.98 and 6,917.31 is: 9,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.81 : 16,867.98 = 6,917.31 : x
  2. Step 2: Convert to fraction form
    12,222.81/16,867.98 = 6,917.31/x
  3. Step 3: Cross multiply
    12,222.81x = 16,867.98 × 6,917.31
  4. Step 4: Simplify right side
    12,222.81x = 116,681,046.73
  5. Step 5: Solve for x
    x = 116,681,046.73/12,222.81
  6. Step 6: Final answer
    x = 9,546.17

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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.