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Finding the Fourth Proportional to 21,156.87, 31,728.90 and 6,361.86

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Solution

The fourth proportional to 21,156.87, 31,728.90 and 6,361.86 is: 9,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,156.87 : 31,728.90 = 6,361.86 : x
  2. Step 2: Convert to fraction form
    21,156.87/31,728.90 = 6,361.86/x
  3. Step 3: Cross multiply
    21,156.87x = 31,728.90 × 6,361.86
  4. Step 4: Simplify right side
    21,156.87x = 201,854,819.75
  5. Step 5: Solve for x
    x = 201,854,819.75/21,156.87
  6. Step 6: Final answer
    x = 9,540.86

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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.