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Finding the Fourth Proportional to 12,912.93, 17,817.12 and 8,443.22

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Solution

The fourth proportional to 12,912.93, 17,817.12 and 8,443.22 is: 11,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.93 : 17,817.12 = 8,443.22 : x
  2. Step 2: Convert to fraction form
    12,912.93/17,817.12 = 8,443.22/x
  3. Step 3: Cross multiply
    12,912.93x = 17,817.12 × 8,443.22
  4. Step 4: Simplify right side
    12,912.93x = 150,433,774.84
  5. Step 5: Solve for x
    x = 150,433,774.84/12,912.93
  6. Step 6: Final answer
    x = 11,649.86

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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.