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Finding the Fourth Proportional to 13,502.22, 20,250.26 and 3,642.30

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Solution

The fourth proportional to 13,502.22, 20,250.26 and 3,642.30 is: 5,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.22 : 20,250.26 = 3,642.30 : x
  2. Step 2: Convert to fraction form
    13,502.22/20,250.26 = 3,642.30/x
  3. Step 3: Cross multiply
    13,502.22x = 20,250.26 × 3,642.30
  4. Step 4: Simplify right side
    13,502.22x = 73,757,522.00
  5. Step 5: Solve for x
    x = 73,757,522.00/13,502.22
  6. Step 6: Final answer
    x = 5,462.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.