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Finding the Fourth Proportional to 21,640.05, 32,460.06 and 6,850.46

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Solution

The fourth proportional to 21,640.05, 32,460.06 and 6,850.46 is: 10,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640.05 : 32,460.06 = 6,850.46 : x
  2. Step 2: Convert to fraction form
    21,640.05/32,460.06 = 6,850.46/x
  3. Step 3: Cross multiply
    21,640.05x = 32,460.06 × 6,850.46
  4. Step 4: Simplify right side
    21,640.05x = 222,366,180.33
  5. Step 5: Solve for x
    x = 222,366,180.33/21,640.05
  6. Step 6: Final answer
    x = 10,275.68

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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.