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Finding the Fourth Proportional to 12,145.82, 16,763.37 and 11,591.78

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Solution

The fourth proportional to 12,145.82, 16,763.37 and 11,591.78 is: 15,998.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.82 : 16,763.37 = 11,591.78 : x
  2. Step 2: Convert to fraction form
    12,145.82/16,763.37 = 11,591.78/x
  3. Step 3: Cross multiply
    12,145.82x = 16,763.37 × 11,591.78
  4. Step 4: Simplify right side
    12,145.82x = 194,317,297.10
  5. Step 5: Solve for x
    x = 194,317,297.10/12,145.82
  6. Step 6: Final answer
    x = 15,998.70

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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.