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Finding the Fourth Proportional to 12,136.62, 16,748.34 and 6,831.42

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Solution

The fourth proportional to 12,136.62, 16,748.34 and 6,831.42 is: 9,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.62 : 16,748.34 = 6,831.42 : x
  2. Step 2: Convert to fraction form
    12,136.62/16,748.34 = 6,831.42/x
  3. Step 3: Cross multiply
    12,136.62x = 16,748.34 × 6,831.42
  4. Step 4: Simplify right side
    12,136.62x = 114,414,944.84
  5. Step 5: Solve for x
    x = 114,414,944.84/12,136.62
  6. Step 6: Final answer
    x = 9,427.25

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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.