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Finding the Fourth Proportional to 12,114.44, 16,718.22 and 6,808.96

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Solution

The fourth proportional to 12,114.44, 16,718.22 and 6,808.96 is: 9,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.44 : 16,718.22 = 6,808.96 : x
  2. Step 2: Convert to fraction form
    12,114.44/16,718.22 = 6,808.96/x
  3. Step 3: Cross multiply
    12,114.44x = 16,718.22 × 6,808.96
  4. Step 4: Simplify right side
    12,114.44x = 113,833,691.25
  5. Step 5: Solve for x
    x = 113,833,691.25/12,114.44
  6. Step 6: Final answer
    x = 9,396.53

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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.