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Finding the Fourth Proportional to 12,919, 19,378.65 and 4,153.90

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Solution

The fourth proportional to 12,919, 19,378.65 and 4,153.90 is: 6,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,919 : 19,378.65 = 4,153.90 : x
  2. Step 2: Convert to fraction form
    12,919/19,378.65 = 4,153.90/x
  3. Step 3: Cross multiply
    12,919x = 19,378.65 × 4,153.90
  4. Step 4: Simplify right side
    12,919x = 80,496,974.24
  5. Step 5: Solve for x
    x = 80,496,974.24/12,919
  6. Step 6: Final answer
    x = 6,230.90

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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.