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Finding the Fourth Proportional to 12,773.46, 19,167.84 and 5,377.44

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Solution

The fourth proportional to 12,773.46, 19,167.84 and 5,377.44 is: 8,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.46 : 19,167.84 = 5,377.44 : x
  2. Step 2: Convert to fraction form
    12,773.46/19,167.84 = 5,377.44/x
  3. Step 3: Cross multiply
    12,773.46x = 19,167.84 × 5,377.44
  4. Step 4: Simplify right side
    12,773.46x = 103,073,909.53
  5. Step 5: Solve for x
    x = 103,073,909.53/12,773.46
  6. Step 6: Final answer
    x = 8,069.38

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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.