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Finding the Fourth Proportional to 21,912.66, 32,873.85 and 10,219.50

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Solution

The fourth proportional to 21,912.66, 32,873.85 and 10,219.50 is: 15,331.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,912.66 : 32,873.85 = 10,219.50 : x
  2. Step 2: Convert to fraction form
    21,912.66/32,873.85 = 10,219.50/x
  3. Step 3: Cross multiply
    21,912.66x = 32,873.85 × 10,219.50
  4. Step 4: Simplify right side
    21,912.66x = 335,954,310.08
  5. Step 5: Solve for x
    x = 335,954,310.08/21,912.66
  6. Step 6: Final answer
    x = 15,331.52

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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.