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Finding the Fourth Proportional to 20,869.12, 31,305.12 and 8,389.16

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Solution

The fourth proportional to 20,869.12, 31,305.12 and 8,389.16 is: 12,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,869.12 : 31,305.12 = 8,389.16 : x
  2. Step 2: Convert to fraction form
    20,869.12/31,305.12 = 8,389.16/x
  3. Step 3: Cross multiply
    20,869.12x = 31,305.12 × 8,389.16
  4. Step 4: Simplify right side
    20,869.12x = 262,623,503.97
  5. Step 5: Solve for x
    x = 262,623,503.97/20,869.12
  6. Step 6: Final answer
    x = 12,584.31

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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.