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Finding the Fourth Proportional to 15,766.46, 23,649 and 3,919.98

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Solution

The fourth proportional to 15,766.46, 23,649 and 3,919.98 is: 5,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,766.46 : 23,649 = 3,919.98 : x
  2. Step 2: Convert to fraction form
    15,766.46/23,649 = 3,919.98/x
  3. Step 3: Cross multiply
    15,766.46x = 23,649 × 3,919.98
  4. Step 4: Simplify right side
    15,766.46x = 92,703,607.02
  5. Step 5: Solve for x
    x = 92,703,607.02/15,766.46
  6. Step 6: Final answer
    x = 5,879.80

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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.