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Finding the Fourth Proportional to 20,757.64, 31,136.38 and 12,440.16

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Solution

The fourth proportional to 20,757.64, 31,136.38 and 12,440.16 is: 18,660.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757.64 : 31,136.38 = 12,440.16 : x
  2. Step 2: Convert to fraction form
    20,757.64/31,136.38 = 12,440.16/x
  3. Step 3: Cross multiply
    20,757.64x = 31,136.38 × 12,440.16
  4. Step 4: Simplify right side
    20,757.64x = 387,341,549.02
  5. Step 5: Solve for x
    x = 387,341,549.02/20,757.64
  6. Step 6: Final answer
    x = 18,660.19

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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.