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Finding the Fourth Proportional to 13,704.22, 18,911.73 and 7,737.05

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Solution

The fourth proportional to 13,704.22, 18,911.73 and 7,737.05 is: 10,677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.22 : 18,911.73 = 7,737.05 : x
  2. Step 2: Convert to fraction form
    13,704.22/18,911.73 = 7,737.05/x
  3. Step 3: Cross multiply
    13,704.22x = 18,911.73 × 7,737.05
  4. Step 4: Simplify right side
    13,704.22x = 146,321,033.37
  5. Step 5: Solve for x
    x = 146,321,033.37/13,704.22
  6. Step 6: Final answer
    x = 10,677.08

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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.