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Finding the Fourth Proportional to 12,817.97, 19,220.10 and 6,575.46

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Solution

The fourth proportional to 12,817.97, 19,220.10 and 6,575.46 is: 9,859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.97 : 19,220.10 = 6,575.46 : x
  2. Step 2: Convert to fraction form
    12,817.97/19,220.10 = 6,575.46/x
  3. Step 3: Cross multiply
    12,817.97x = 19,220.10 × 6,575.46
  4. Step 4: Simplify right side
    12,817.97x = 126,380,998.75
  5. Step 5: Solve for x
    x = 126,380,998.75/12,817.97
  6. Step 6: Final answer
    x = 9,859.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.