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Finding the Fourth Proportional to 13,227.24, 18,250.74 and 7,635

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Solution

The fourth proportional to 13,227.24, 18,250.74 and 7,635 is: 10,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.24 : 18,250.74 = 7,635 : x
  2. Step 2: Convert to fraction form
    13,227.24/18,250.74 = 7,635/x
  3. Step 3: Cross multiply
    13,227.24x = 18,250.74 × 7,635
  4. Step 4: Simplify right side
    13,227.24x = 139,344,399.90
  5. Step 5: Solve for x
    x = 139,344,399.90/13,227.24
  6. Step 6: Final answer
    x = 10,534.65

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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.