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Finding the Fourth Proportional to 12,197.19, 16,829.83 and 7,717.80

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Solution

The fourth proportional to 12,197.19, 16,829.83 and 7,717.80 is: 10,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.19 : 16,829.83 = 7,717.80 : x
  2. Step 2: Convert to fraction form
    12,197.19/16,829.83 = 7,717.80/x
  3. Step 3: Cross multiply
    12,197.19x = 16,829.83 × 7,717.80
  4. Step 4: Simplify right side
    12,197.19x = 129,889,261.97
  5. Step 5: Solve for x
    x = 129,889,261.97/12,197.19
  6. Step 6: Final answer
    x = 10,649.11

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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.