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Finding the Fourth Proportional to 19,806.80, 29,712.15 and 5,766.97

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Solution

The fourth proportional to 19,806.80, 29,712.15 and 5,766.97 is: 8,651.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.80 : 29,712.15 = 5,766.97 : x
  2. Step 2: Convert to fraction form
    19,806.80/29,712.15 = 5,766.97/x
  3. Step 3: Cross multiply
    19,806.80x = 29,712.15 × 5,766.97
  4. Step 4: Simplify right side
    19,806.80x = 171,349,059.12
  5. Step 5: Solve for x
    x = 171,349,059.12/19,806.80
  6. Step 6: Final answer
    x = 8,651.02

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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.