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Finding the Fourth Proportional to 12,196.79, 16,831.35 and 6,891.49

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Solution

The fourth proportional to 12,196.79, 16,831.35 and 6,891.49 is: 9,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.79 : 16,831.35 = 6,891.49 : x
  2. Step 2: Convert to fraction form
    12,196.79/16,831.35 = 6,891.49/x
  3. Step 3: Cross multiply
    12,196.79x = 16,831.35 × 6,891.49
  4. Step 4: Simplify right side
    12,196.79x = 115,993,145.73
  5. Step 5: Solve for x
    x = 115,993,145.73/12,196.79
  6. Step 6: Final answer
    x = 9,510.14

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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.