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Finding the Fourth Proportional to 13,593.27, 18,757.53 and 9,116.22

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Solution

The fourth proportional to 13,593.27, 18,757.53 and 9,116.22 is: 12,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,593.27 : 18,757.53 = 9,116.22 : x
  2. Step 2: Convert to fraction form
    13,593.27/18,757.53 = 9,116.22/x
  3. Step 3: Cross multiply
    13,593.27x = 18,757.53 × 9,116.22
  4. Step 4: Simplify right side
    13,593.27x = 170,997,770.14
  5. Step 5: Solve for x
    x = 170,997,770.14/13,593.27
  6. Step 6: Final answer
    x = 12,579.59

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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.