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Finding the Fourth Proportional to 13,957.34, 20,936.90 and 6,166.13

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Solution

The fourth proportional to 13,957.34, 20,936.90 and 6,166.13 is: 9,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.34 : 20,936.90 = 6,166.13 : x
  2. Step 2: Convert to fraction form
    13,957.34/20,936.90 = 6,166.13/x
  3. Step 3: Cross multiply
    13,957.34x = 20,936.90 × 6,166.13
  4. Step 4: Simplify right side
    13,957.34x = 129,099,557.93
  5. Step 5: Solve for x
    x = 129,099,557.93/13,957.34
  6. Step 6: Final answer
    x = 9,249.59

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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.