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Finding the Fourth Proportional to 13,843.50, 19,104.30 and 8,254.50

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Solution

The fourth proportional to 13,843.50, 19,104.30 and 8,254.50 is: 11,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.50 : 19,104.30 = 8,254.50 : x
  2. Step 2: Convert to fraction form
    13,843.50/19,104.30 = 8,254.50/x
  3. Step 3: Cross multiply
    13,843.50x = 19,104.30 × 8,254.50
  4. Step 4: Simplify right side
    13,843.50x = 157,696,444.35
  5. Step 5: Solve for x
    x = 157,696,444.35/13,843.50
  6. Step 6: Final answer
    x = 11,391.37

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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.