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Finding the Fourth Proportional to 13,448.53, 18,555.91 and 8,142.22

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Solution

The fourth proportional to 13,448.53, 18,555.91 and 8,142.22 is: 11,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,448.53 : 18,555.91 = 8,142.22 : x
  2. Step 2: Convert to fraction form
    13,448.53/18,555.91 = 8,142.22/x
  3. Step 3: Cross multiply
    13,448.53x = 18,555.91 × 8,142.22
  4. Step 4: Simplify right side
    13,448.53x = 151,086,301.52
  5. Step 5: Solve for x
    x = 151,086,301.52/13,448.53
  6. Step 6: Final answer
    x = 11,234.41

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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.