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Finding the Fourth Proportional to 17,855.43, 24,640.24 and 10,301.78

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Solution

The fourth proportional to 17,855.43, 24,640.24 and 10,301.78 is: 14,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.43 : 24,640.24 = 10,301.78 : x
  2. Step 2: Convert to fraction form
    17,855.43/24,640.24 = 10,301.78/x
  3. Step 3: Cross multiply
    17,855.43x = 24,640.24 × 10,301.78
  4. Step 4: Simplify right side
    17,855.43x = 253,838,331.63
  5. Step 5: Solve for x
    x = 253,838,331.63/17,855.43
  6. Step 6: Final answer
    x = 14,216.31

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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.