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Finding the Fourth Proportional to 12,645.99, 18,969.20 and 6,398.46

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Solution

The fourth proportional to 12,645.99, 18,969.20 and 6,398.46 is: 9,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.99 : 18,969.20 = 6,398.46 : x
  2. Step 2: Convert to fraction form
    12,645.99/18,969.20 = 6,398.46/x
  3. Step 3: Cross multiply
    12,645.99x = 18,969.20 × 6,398.46
  4. Step 4: Simplify right side
    12,645.99x = 121,373,635.44
  5. Step 5: Solve for x
    x = 121,373,635.44/12,645.99
  6. Step 6: Final answer
    x = 9,597.80

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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.