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Finding the Fourth Proportional to 12,793.83, 19,193.34 and 5,398.31

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Solution

The fourth proportional to 12,793.83, 19,193.34 and 5,398.31 is: 8,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.83 : 19,193.34 = 5,398.31 : x
  2. Step 2: Convert to fraction form
    12,793.83/19,193.34 = 5,398.31/x
  3. Step 3: Cross multiply
    12,793.83x = 19,193.34 × 5,398.31
  4. Step 4: Simplify right side
    12,793.83x = 103,611,503.29
  5. Step 5: Solve for x
    x = 103,611,503.29/12,793.83
  6. Step 6: Final answer
    x = 8,098.55

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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.