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Finding the Fourth Proportional to 13,722.27, 18,937.11 and 7,753.82

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Solution

The fourth proportional to 13,722.27, 18,937.11 and 7,753.82 is: 10,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.27 : 18,937.11 = 7,753.82 : x
  2. Step 2: Convert to fraction form
    13,722.27/18,937.11 = 7,753.82/x
  3. Step 3: Cross multiply
    13,722.27x = 18,937.11 × 7,753.82
  4. Step 4: Simplify right side
    13,722.27x = 146,834,847.57
  5. Step 5: Solve for x
    x = 146,834,847.57/13,722.27
  6. Step 6: Final answer
    x = 10,700.48

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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.