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Finding the Fourth Proportional to 12,142.96, 16,757.12 and 6,837.84

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Solution

The fourth proportional to 12,142.96, 16,757.12 and 6,837.84 is: 9,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.96 : 16,757.12 = 6,837.84 : x
  2. Step 2: Convert to fraction form
    12,142.96/16,757.12 = 6,837.84/x
  3. Step 3: Cross multiply
    12,142.96x = 16,757.12 × 6,837.84
  4. Step 4: Simplify right side
    12,142.96x = 114,582,505.42
  5. Step 5: Solve for x
    x = 114,582,505.42/12,142.96
  6. Step 6: Final answer
    x = 9,436.13

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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.