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Finding the Fourth Proportional to 16,183.75, 24,267.79 and 9,608.17

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Solution

The fourth proportional to 16,183.75, 24,267.79 and 9,608.17 is: 14,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,183.75 : 24,267.79 = 9,608.17 : x
  2. Step 2: Convert to fraction form
    16,183.75/24,267.79 = 9,608.17/x
  3. Step 3: Cross multiply
    16,183.75x = 24,267.79 × 9,608.17
  4. Step 4: Simplify right side
    16,183.75x = 233,169,003.19
  5. Step 5: Solve for x
    x = 233,169,003.19/16,183.75
  6. Step 6: Final answer
    x = 14,407.60

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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.