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Finding the Fourth Proportional to 13,204.53, 18,222.75 and 7,540.20

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Solution

The fourth proportional to 13,204.53, 18,222.75 and 7,540.20 is: 10,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.53 : 18,222.75 = 7,540.20 : x
  2. Step 2: Convert to fraction form
    13,204.53/18,222.75 = 7,540.20/x
  3. Step 3: Cross multiply
    13,204.53x = 18,222.75 × 7,540.20
  4. Step 4: Simplify right side
    13,204.53x = 137,403,179.55
  5. Step 5: Solve for x
    x = 137,403,179.55/13,204.53
  6. Step 6: Final answer
    x = 10,405.76

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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.