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Finding the Fourth Proportional to 13,642.88, 18,827.37 and 8,336.57

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Solution

The fourth proportional to 13,642.88, 18,827.37 and 8,336.57 is: 11,504.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.88 : 18,827.37 = 8,336.57 : x
  2. Step 2: Convert to fraction form
    13,642.88/18,827.37 = 8,336.57/x
  3. Step 3: Cross multiply
    13,642.88x = 18,827.37 × 8,336.57
  4. Step 4: Simplify right side
    13,642.88x = 156,955,593.78
  5. Step 5: Solve for x
    x = 156,955,593.78/13,642.88
  6. Step 6: Final answer
    x = 11,504.58

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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.