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Finding the Fourth Proportional to 21,481.38, 32,208.84 and 7,438.14

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Solution

The fourth proportional to 21,481.38, 32,208.84 and 7,438.14 is: 11,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,481.38 : 32,208.84 = 7,438.14 : x
  2. Step 2: Convert to fraction form
    21,481.38/32,208.84 = 7,438.14/x
  3. Step 3: Cross multiply
    21,481.38x = 32,208.84 × 7,438.14
  4. Step 4: Simplify right side
    21,481.38x = 239,573,861.16
  5. Step 5: Solve for x
    x = 239,573,861.16/21,481.38
  6. Step 6: Final answer
    x = 11,152.63

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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.