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Finding the Fourth Proportional to 12,136.29, 16,747.68 and 6,831.39

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Solution

The fourth proportional to 12,136.29, 16,747.68 and 6,831.39 is: 9,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.29 : 16,747.68 = 6,831.39 : x
  2. Step 2: Convert to fraction form
    12,136.29/16,747.68 = 6,831.39/x
  3. Step 3: Cross multiply
    12,136.29x = 16,747.68 × 6,831.39
  4. Step 4: Simplify right side
    12,136.29x = 114,409,933.68
  5. Step 5: Solve for x
    x = 114,409,933.68/12,136.29
  6. Step 6: Final answer
    x = 9,427.09

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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.