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Finding the Fourth Proportional to 12,264.26, 16,927.92 and 7,231.83

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Solution

The fourth proportional to 12,264.26, 16,927.92 and 7,231.83 is: 9,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.26 : 16,927.92 = 7,231.83 : x
  2. Step 2: Convert to fraction form
    12,264.26/16,927.92 = 7,231.83/x
  3. Step 3: Cross multiply
    12,264.26x = 16,927.92 × 7,231.83
  4. Step 4: Simplify right side
    12,264.26x = 122,419,839.69
  5. Step 5: Solve for x
    x = 122,419,839.69/12,264.26
  6. Step 6: Final answer
    x = 9,981.84

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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.