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Finding the Fourth Proportional to 13,234.38, 18,263.44 and 7,266.14

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Solution

The fourth proportional to 13,234.38, 18,263.44 and 7,266.14 is: 10,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.38 : 18,263.44 = 7,266.14 : x
  2. Step 2: Convert to fraction form
    13,234.38/18,263.44 = 7,266.14/x
  3. Step 3: Cross multiply
    13,234.38x = 18,263.44 × 7,266.14
  4. Step 4: Simplify right side
    13,234.38x = 132,704,711.92
  5. Step 5: Solve for x
    x = 132,704,711.92/13,234.38
  6. Step 6: Final answer
    x = 10,027.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.