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Finding the Fourth Proportional to 17,914, 24,721.74 and 9,956.56

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Solution

The fourth proportional to 17,914, 24,721.74 and 9,956.56 is: 13,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,914 : 24,721.74 = 9,956.56 : x
  2. Step 2: Convert to fraction form
    17,914/24,721.74 = 9,956.56/x
  3. Step 3: Cross multiply
    17,914x = 24,721.74 × 9,956.56
  4. Step 4: Simplify right side
    17,914x = 246,143,487.61
  5. Step 5: Solve for x
    x = 246,143,487.61/17,914
  6. Step 6: Final answer
    x = 13,740.29

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Why These Related Problems?

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