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Finding the Fourth Proportional to 13,546.50, 20,229.71 and 13,399.89

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Solution

The fourth proportional to 13,546.50, 20,229.71 and 13,399.89 is: 20,010.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.50 : 20,229.71 = 13,399.89 : x
  2. Step 2: Convert to fraction form
    13,546.50/20,229.71 = 13,399.89/x
  3. Step 3: Cross multiply
    13,546.50x = 20,229.71 × 13,399.89
  4. Step 4: Simplify right side
    13,546.50x = 271,075,888.73
  5. Step 5: Solve for x
    x = 271,075,888.73/13,546.50
  6. Step 6: Final answer
    x = 20,010.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.