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Finding the Fourth Proportional to 12,869.46, 17,649.05 and 12,195.54

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Solution

The fourth proportional to 12,869.46, 17,649.05 and 12,195.54 is: 16,724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.46 : 17,649.05 = 12,195.54 : x
  2. Step 2: Convert to fraction form
    12,869.46/17,649.05 = 12,195.54/x
  3. Step 3: Cross multiply
    12,869.46x = 17,649.05 × 12,195.54
  4. Step 4: Simplify right side
    12,869.46x = 215,239,634.26
  5. Step 5: Solve for x
    x = 215,239,634.26/12,869.46
  6. Step 6: Final answer
    x = 16,724.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.