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Finding the Fourth Proportional to 13,227.64, 18,252.94 and 7,561.24

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Solution

The fourth proportional to 13,227.64, 18,252.94 and 7,561.24 is: 10,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.64 : 18,252.94 = 7,561.24 : x
  2. Step 2: Convert to fraction form
    13,227.64/18,252.94 = 7,561.24/x
  3. Step 3: Cross multiply
    13,227.64x = 18,252.94 × 7,561.24
  4. Step 4: Simplify right side
    13,227.64x = 138,014,860.05
  5. Step 5: Solve for x
    x = 138,014,860.05/13,227.64
  6. Step 6: Final answer
    x = 10,433.82

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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.