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Finding the Fourth Proportional to 13,642.44, 18,825.26 and 8,342.61

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Solution

The fourth proportional to 13,642.44, 18,825.26 and 8,342.61 is: 11,512.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.44 : 18,825.26 = 8,342.61 : x
  2. Step 2: Convert to fraction form
    13,642.44/18,825.26 = 8,342.61/x
  3. Step 3: Cross multiply
    13,642.44x = 18,825.26 × 8,342.61
  4. Step 4: Simplify right side
    13,642.44x = 157,051,760.62
  5. Step 5: Solve for x
    x = 157,051,760.62/13,642.44
  6. Step 6: Final answer
    x = 11,512.00

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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.