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Finding the Fourth Proportional to 23,771.10, 32,811.41 and 13,706.25

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Solution

The fourth proportional to 23,771.10, 32,811.41 and 13,706.25 is: 18,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.10 : 32,811.41 = 13,706.25 : x
  2. Step 2: Convert to fraction form
    23,771.10/32,811.41 = 13,706.25/x
  3. Step 3: Cross multiply
    23,771.10x = 32,811.41 × 13,706.25
  4. Step 4: Simplify right side
    23,771.10x = 449,721,299.54
  5. Step 5: Solve for x
    x = 449,721,299.54/23,771.10
  6. Step 6: Final answer
    x = 18,918.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.