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Finding the Fourth Proportional to 21,850, 32,772.21 and 7,057.38

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Solution

The fourth proportional to 21,850, 32,772.21 and 7,057.38 is: 10,585.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,850 : 32,772.21 = 7,057.38 : x
  2. Step 2: Convert to fraction form
    21,850/32,772.21 = 7,057.38/x
  3. Step 3: Cross multiply
    21,850x = 32,772.21 × 7,057.38
  4. Step 4: Simplify right side
    21,850x = 231,285,939.41
  5. Step 5: Solve for x
    x = 231,285,939.41/21,850
  6. Step 6: Final answer
    x = 10,585.17

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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.