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Finding the Fourth Proportional to 13,769.25, 20,654.07 and 3,381

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Solution

The fourth proportional to 13,769.25, 20,654.07 and 3,381 is: 5,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.25 : 20,654.07 = 3,381 : x
  2. Step 2: Convert to fraction form
    13,769.25/20,654.07 = 3,381/x
  3. Step 3: Cross multiply
    13,769.25x = 20,654.07 × 3,381
  4. Step 4: Simplify right side
    13,769.25x = 69,831,410.67
  5. Step 5: Solve for x
    x = 69,831,410.67/13,769.25
  6. Step 6: Final answer
    x = 5,071.55

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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.