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Finding the Fourth Proportional to 21,908.96, 32,859.24 and 9,431.12

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Solution

The fourth proportional to 21,908.96, 32,859.24 and 9,431.12 is: 14,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,908.96 : 32,859.24 = 9,431.12 : x
  2. Step 2: Convert to fraction form
    21,908.96/32,859.24 = 9,431.12/x
  3. Step 3: Cross multiply
    21,908.96x = 32,859.24 × 9,431.12
  4. Step 4: Simplify right side
    21,908.96x = 309,899,435.55
  5. Step 5: Solve for x
    x = 309,899,435.55/21,908.96
  6. Step 6: Final answer
    x = 14,144.87

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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.