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Finding the Fourth Proportional to 12,142.41, 16,756.57 and 6,837.31

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Solution

The fourth proportional to 12,142.41, 16,756.57 and 6,837.31 is: 9,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.41 : 16,756.57 = 6,837.31 : x
  2. Step 2: Convert to fraction form
    12,142.41/16,756.57 = 6,837.31/x
  3. Step 3: Cross multiply
    12,142.41x = 16,756.57 × 6,837.31
  4. Step 4: Simplify right side
    12,142.41x = 114,569,893.12
  5. Step 5: Solve for x
    x = 114,569,893.12/12,142.41
  6. Step 6: Final answer
    x = 9,435.52

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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.