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Finding the Fourth Proportional to 13,771.73, 20,656.89 and 8,075.86

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Solution

The fourth proportional to 13,771.73, 20,656.89 and 8,075.86 is: 12,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.73 : 20,656.89 = 8,075.86 : x
  2. Step 2: Convert to fraction form
    13,771.73/20,656.89 = 8,075.86/x
  3. Step 3: Cross multiply
    13,771.73x = 20,656.89 × 8,075.86
  4. Step 4: Simplify right side
    13,771.73x = 166,822,100.03
  5. Step 5: Solve for x
    x = 166,822,100.03/13,771.73
  6. Step 6: Final answer
    x = 12,113.37

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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.