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Finding the Fourth Proportional to 12,155.40, 16,773.89 and 8,175.87

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Solution

The fourth proportional to 12,155.40, 16,773.89 and 8,175.87 is: 11,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.40 : 16,773.89 = 8,175.87 : x
  2. Step 2: Convert to fraction form
    12,155.40/16,773.89 = 8,175.87/x
  3. Step 3: Cross multiply
    12,155.40x = 16,773.89 × 8,175.87
  4. Step 4: Simplify right side
    12,155.40x = 137,141,103.15
  5. Step 5: Solve for x
    x = 137,141,103.15/12,155.40
  6. Step 6: Final answer
    x = 11,282.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.