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Finding the Fourth Proportional to 12,649.11, 18,977.85 and 7,963.62

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Solution

The fourth proportional to 12,649.11, 18,977.85 and 7,963.62 is: 11,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.11 : 18,977.85 = 7,963.62 : x
  2. Step 2: Convert to fraction form
    12,649.11/18,977.85 = 7,963.62/x
  3. Step 3: Cross multiply
    12,649.11x = 18,977.85 × 7,963.62
  4. Step 4: Simplify right side
    12,649.11x = 151,132,385.82
  5. Step 5: Solve for x
    x = 151,132,385.82/12,649.11
  6. Step 6: Final answer
    x = 11,948.06

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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.