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Finding the Fourth Proportional to 13,840.75, 19,100.24 and 8,251.75

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Solution

The fourth proportional to 13,840.75, 19,100.24 and 8,251.75 is: 11,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.75 : 19,100.24 = 8,251.75 : x
  2. Step 2: Convert to fraction form
    13,840.75/19,100.24 = 8,251.75/x
  3. Step 3: Cross multiply
    13,840.75x = 19,100.24 × 8,251.75
  4. Step 4: Simplify right side
    13,840.75x = 157,610,405.42
  5. Step 5: Solve for x
    x = 157,610,405.42/13,840.75
  6. Step 6: Final answer
    x = 11,387.42

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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.