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Finding the Fourth Proportional to 13,522.37, 18,659.72 and 7,855.29

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Solution

The fourth proportional to 13,522.37, 18,659.72 and 7,855.29 is: 10,839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.37 : 18,659.72 = 7,855.29 : x
  2. Step 2: Convert to fraction form
    13,522.37/18,659.72 = 7,855.29/x
  3. Step 3: Cross multiply
    13,522.37x = 18,659.72 × 7,855.29
  4. Step 4: Simplify right side
    13,522.37x = 146,577,531.56
  5. Step 5: Solve for x
    x = 146,577,531.56/13,522.37
  6. Step 6: Final answer
    x = 10,839.64

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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.