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Finding the Fourth Proportional to 17,914.11, 24,723 and 9,956.13

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Solution

The fourth proportional to 17,914.11, 24,723 and 9,956.13 is: 13,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,914.11 : 24,723 = 9,956.13 : x
  2. Step 2: Convert to fraction form
    17,914.11/24,723 = 9,956.13/x
  3. Step 3: Cross multiply
    17,914.11x = 24,723 × 9,956.13
  4. Step 4: Simplify right side
    17,914.11x = 246,145,401.99
  5. Step 5: Solve for x
    x = 246,145,401.99/17,914.11
  6. Step 6: Final answer
    x = 13,740.31

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1.5x scale

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.