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Finding the Fourth Proportional to 12,136.87, 16,748.60 and 6,831.64

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Solution

The fourth proportional to 12,136.87, 16,748.60 and 6,831.64 is: 9,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.87 : 16,748.60 = 6,831.64 : x
  2. Step 2: Convert to fraction form
    12,136.87/16,748.60 = 6,831.64/x
  3. Step 3: Cross multiply
    12,136.87x = 16,748.60 × 6,831.64
  4. Step 4: Simplify right side
    12,136.87x = 114,420,405.70
  5. Step 5: Solve for x
    x = 114,420,405.70/12,136.87
  6. Step 6: Final answer
    x = 9,427.51

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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.