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Finding the Fourth Proportional to 17,635.50, 24,337.71 and 10,183.50

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Solution

The fourth proportional to 17,635.50, 24,337.71 and 10,183.50 is: 14,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.50 : 24,337.71 = 10,183.50 : x
  2. Step 2: Convert to fraction form
    17,635.50/24,337.71 = 10,183.50/x
  3. Step 3: Cross multiply
    17,635.50x = 24,337.71 × 10,183.50
  4. Step 4: Simplify right side
    17,635.50x = 247,843,069.79
  5. Step 5: Solve for x
    x = 247,843,069.79/17,635.50
  6. Step 6: Final answer
    x = 14,053.65

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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.