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Finding the Fourth Proportional to 12,196.37, 16,831.37 and 6,891.53

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Solution

The fourth proportional to 12,196.37, 16,831.37 and 6,891.53 is: 9,510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.37 : 16,831.37 = 6,891.53 : x
  2. Step 2: Convert to fraction form
    12,196.37/16,831.37 = 6,891.53/x
  3. Step 3: Cross multiply
    12,196.37x = 16,831.37 × 6,891.53
  4. Step 4: Simplify right side
    12,196.37x = 115,993,824.37
  5. Step 5: Solve for x
    x = 115,993,824.37/12,196.37
  6. Step 6: Final answer
    x = 9,510.52

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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.