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Finding the Fourth Proportional to 17,832.99, 24,608.70 and 10,280.67

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Solution

The fourth proportional to 17,832.99, 24,608.70 and 10,280.67 is: 14,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.99 : 24,608.70 = 10,280.67 : x
  2. Step 2: Convert to fraction form
    17,832.99/24,608.70 = 10,280.67/x
  3. Step 3: Cross multiply
    17,832.99x = 24,608.70 × 10,280.67
  4. Step 4: Simplify right side
    17,832.99x = 252,993,923.83
  5. Step 5: Solve for x
    x = 252,993,923.83/17,832.99
  6. Step 6: Final answer
    x = 14,186.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.