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Finding the Fourth Proportional to 15,747.78, 21,734.34 and 11,964.78

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Solution

The fourth proportional to 15,747.78, 21,734.34 and 11,964.78 is: 16,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,747.78 : 21,734.34 = 11,964.78 : x
  2. Step 2: Convert to fraction form
    15,747.78/21,734.34 = 11,964.78/x
  3. Step 3: Cross multiply
    15,747.78x = 21,734.34 × 11,964.78
  4. Step 4: Simplify right side
    15,747.78x = 260,046,596.55
  5. Step 5: Solve for x
    x = 260,046,596.55/15,747.78
  6. Step 6: Final answer
    x = 16,513.22

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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.