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Finding the Fourth Proportional to 21,150.32, 31,745.16 and 10,769.84

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Solution

The fourth proportional to 21,150.32, 31,745.16 and 10,769.84 is: 16,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,150.32 : 31,745.16 = 10,769.84 : x
  2. Step 2: Convert to fraction form
    21,150.32/31,745.16 = 10,769.84/x
  3. Step 3: Cross multiply
    21,150.32x = 31,745.16 × 10,769.84
  4. Step 4: Simplify right side
    21,150.32x = 341,890,293.97
  5. Step 5: Solve for x
    x = 341,890,293.97/21,150.32
  6. Step 6: Final answer
    x = 16,164.78

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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.