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Finding the Fourth Proportional to 16,363.80, 24,539.49 and 6,997.95

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Solution

The fourth proportional to 16,363.80, 24,539.49 and 6,997.95 is: 10,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,363.80 : 24,539.49 = 6,997.95 : x
  2. Step 2: Convert to fraction form
    16,363.80/24,539.49 = 6,997.95/x
  3. Step 3: Cross multiply
    16,363.80x = 24,539.49 × 6,997.95
  4. Step 4: Simplify right side
    16,363.80x = 171,726,124.05
  5. Step 5: Solve for x
    x = 171,726,124.05/16,363.80
  6. Step 6: Final answer
    x = 10,494.27

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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.