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Finding the Fourth Proportional to 12,776.92, 19,165.38 and 3,892.32

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Solution

The fourth proportional to 12,776.92, 19,165.38 and 3,892.32 is: 5,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.92 : 19,165.38 = 3,892.32 : x
  2. Step 2: Convert to fraction form
    12,776.92/19,165.38 = 3,892.32/x
  3. Step 3: Cross multiply
    12,776.92x = 19,165.38 × 3,892.32
  4. Step 4: Simplify right side
    12,776.92x = 74,597,791.88
  5. Step 5: Solve for x
    x = 74,597,791.88/12,776.92
  6. Step 6: Final answer
    x = 5,838.48

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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.