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Finding the Fourth Proportional to 12,797.44, 19,205.12 and 5,876.48

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Solution

The fourth proportional to 12,797.44, 19,205.12 and 5,876.48 is: 8,818.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.44 : 19,205.12 = 5,876.48 : x
  2. Step 2: Convert to fraction form
    12,797.44/19,205.12 = 5,876.48/x
  3. Step 3: Cross multiply
    12,797.44x = 19,205.12 × 5,876.48
  4. Step 4: Simplify right side
    12,797.44x = 112,858,503.58
  5. Step 5: Solve for x
    x = 112,858,503.58/12,797.44
  6. Step 6: Final answer
    x = 8,818.83

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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.