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Finding the Fourth Proportional to 19,690.78, 29,527.44 and 5,647.61

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Solution

The fourth proportional to 19,690.78, 29,527.44 and 5,647.61 is: 8,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690.78 : 29,527.44 = 5,647.61 : x
  2. Step 2: Convert to fraction form
    19,690.78/29,527.44 = 5,647.61/x
  3. Step 3: Cross multiply
    19,690.78x = 29,527.44 × 5,647.61
  4. Step 4: Simplify right side
    19,690.78x = 166,759,351.97
  5. Step 5: Solve for x
    x = 166,759,351.97/19,690.78
  6. Step 6: Final answer
    x = 8,468.91

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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.