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Finding the Fourth Proportional to 12,136.32, 16,747.74 and 6,831

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Solution

The fourth proportional to 12,136.32, 16,747.74 and 6,831 is: 9,426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.32 : 16,747.74 = 6,831 : x
  2. Step 2: Convert to fraction form
    12,136.32/16,747.74 = 6,831/x
  3. Step 3: Cross multiply
    12,136.32x = 16,747.74 × 6,831
  4. Step 4: Simplify right side
    12,136.32x = 114,403,811.94
  5. Step 5: Solve for x
    x = 114,403,811.94/12,136.32
  6. Step 6: Final answer
    x = 9,426.57

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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.