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Finding the Fourth Proportional to 13,538.43, 18,675.54 and 7,872.55

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Solution

The fourth proportional to 13,538.43, 18,675.54 and 7,872.55 is: 10,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.43 : 18,675.54 = 7,872.55 : x
  2. Step 2: Convert to fraction form
    13,538.43/18,675.54 = 7,872.55/x
  3. Step 3: Cross multiply
    13,538.43x = 18,675.54 × 7,872.55
  4. Step 4: Simplify right side
    13,538.43x = 147,024,122.43
  5. Step 5: Solve for x
    x = 147,024,122.43/13,538.43
  6. Step 6: Final answer
    x = 10,859.76

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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.