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Finding the Fourth Proportional to 16,380.86, 24,572.88 and 6,517.83

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Solution

The fourth proportional to 16,380.86, 24,572.88 and 6,517.83 is: 9,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.86 : 24,572.88 = 6,517.83 : x
  2. Step 2: Convert to fraction form
    16,380.86/24,572.88 = 6,517.83/x
  3. Step 3: Cross multiply
    16,380.86x = 24,572.88 × 6,517.83
  4. Step 4: Simplify right side
    16,380.86x = 160,161,852.10
  5. Step 5: Solve for x
    x = 160,161,852.10/16,380.86
  6. Step 6: Final answer
    x = 9,777.38

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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.