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Finding the Fourth Proportional to 17,817.50, 24,587.82 and 10,263.78

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Solution

The fourth proportional to 17,817.50, 24,587.82 and 10,263.78 is: 14,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,817.50 : 24,587.82 = 10,263.78 : x
  2. Step 2: Convert to fraction form
    17,817.50/24,587.82 = 10,263.78/x
  3. Step 3: Cross multiply
    17,817.50x = 24,587.82 × 10,263.78
  4. Step 4: Simplify right side
    17,817.50x = 252,363,975.16
  5. Step 5: Solve for x
    x = 252,363,975.16/17,817.50
  6. Step 6: Final answer
    x = 14,163.83

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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.