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Finding the Fourth Proportional to 12,142.96, 16,757.20 and 6,837.68

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Solution

The fourth proportional to 12,142.96, 16,757.20 and 6,837.68 is: 9,435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.96 : 16,757.20 = 6,837.68 : x
  2. Step 2: Convert to fraction form
    12,142.96/16,757.20 = 6,837.68/x
  3. Step 3: Cross multiply
    12,142.96x = 16,757.20 × 6,837.68
  4. Step 4: Simplify right side
    12,142.96x = 114,580,371.30
  5. Step 5: Solve for x
    x = 114,580,371.30/12,142.96
  6. Step 6: Final answer
    x = 9,435.95

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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.