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Finding the Fourth Proportional to 13,704.12, 20,557.26 and 6,777

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Solution

The fourth proportional to 13,704.12, 20,557.26 and 6,777 is: 10,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.12 : 20,557.26 = 6,777 : x
  2. Step 2: Convert to fraction form
    13,704.12/20,557.26 = 6,777/x
  3. Step 3: Cross multiply
    13,704.12x = 20,557.26 × 6,777
  4. Step 4: Simplify right side
    13,704.12x = 139,316,551.02
  5. Step 5: Solve for x
    x = 139,316,551.02/13,704.12
  6. Step 6: Final answer
    x = 10,166.03

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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.