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Finding the Fourth Proportional to 13,858.52, 19,122.24 and 8,194.24

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Solution

The fourth proportional to 13,858.52, 19,122.24 and 8,194.24 is: 11,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.52 : 19,122.24 = 8,194.24 : x
  2. Step 2: Convert to fraction form
    13,858.52/19,122.24 = 8,194.24/x
  3. Step 3: Cross multiply
    13,858.52x = 19,122.24 × 8,194.24
  4. Step 4: Simplify right side
    13,858.52x = 156,692,223.90
  5. Step 5: Solve for x
    x = 156,692,223.90/13,858.52
  6. Step 6: Final answer
    x = 11,306.56

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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.