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Finding the Fourth Proportional to 19,532.66, 29,285.97 and 6,380.42

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Solution

The fourth proportional to 19,532.66, 29,285.97 and 6,380.42 is: 9,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,532.66 : 29,285.97 = 6,380.42 : x
  2. Step 2: Convert to fraction form
    19,532.66/29,285.97 = 6,380.42/x
  3. Step 3: Cross multiply
    19,532.66x = 29,285.97 × 6,380.42
  4. Step 4: Simplify right side
    19,532.66x = 186,856,788.71
  5. Step 5: Solve for x
    x = 186,856,788.71/19,532.66
  6. Step 6: Final answer
    x = 9,566.38

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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.