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Finding the Fourth Proportional to 17,762.62, 24,513.23 and 10,211.39

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Solution

The fourth proportional to 17,762.62, 24,513.23 and 10,211.39 is: 14,092.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.62 : 24,513.23 = 10,211.39 : x
  2. Step 2: Convert to fraction form
    17,762.62/24,513.23 = 10,211.39/x
  3. Step 3: Cross multiply
    17,762.62x = 24,513.23 × 10,211.39
  4. Step 4: Simplify right side
    17,762.62x = 250,314,151.69
  5. Step 5: Solve for x
    x = 250,314,151.69/17,762.62
  6. Step 6: Final answer
    x = 14,092.19

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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.