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Finding the Fourth Proportional to 21,647.62, 32,474.49 and 6,857.70

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Solution

The fourth proportional to 21,647.62, 32,474.49 and 6,857.70 is: 10,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,647.62 : 32,474.49 = 6,857.70 : x
  2. Step 2: Convert to fraction form
    21,647.62/32,474.49 = 6,857.70/x
  3. Step 3: Cross multiply
    21,647.62x = 32,474.49 × 6,857.70
  4. Step 4: Simplify right side
    21,647.62x = 222,700,162.58
  5. Step 5: Solve for x
    x = 222,700,162.58/21,647.62
  6. Step 6: Final answer
    x = 10,287.51

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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.