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Finding the Fourth Proportional to 13,852.56, 20,781.36 and 5,086.56

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Solution

The fourth proportional to 13,852.56, 20,781.36 and 5,086.56 is: 7,630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.56 : 20,781.36 = 5,086.56 : x
  2. Step 2: Convert to fraction form
    13,852.56/20,781.36 = 5,086.56/x
  3. Step 3: Cross multiply
    13,852.56x = 20,781.36 × 5,086.56
  4. Step 4: Simplify right side
    13,852.56x = 105,705,634.52
  5. Step 5: Solve for x
    x = 105,705,634.52/13,852.56
  6. Step 6: Final answer
    x = 7,630.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.