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Finding the Fourth Proportional to 13,431.09, 20,119.20 and 6,389.80

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Solution

The fourth proportional to 13,431.09, 20,119.20 and 6,389.80 is: 9,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.09 : 20,119.20 = 6,389.80 : x
  2. Step 2: Convert to fraction form
    13,431.09/20,119.20 = 6,389.80/x
  3. Step 3: Cross multiply
    13,431.09x = 20,119.20 × 6,389.80
  4. Step 4: Simplify right side
    13,431.09x = 128,557,664.16
  5. Step 5: Solve for x
    x = 128,557,664.16/13,431.09
  6. Step 6: Final answer
    x = 9,571.65

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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.