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Finding the Fourth Proportional to 17,794.92, 24,560.74 and 10,242.28

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Solution

The fourth proportional to 17,794.92, 24,560.74 and 10,242.28 is: 14,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,794.92 : 24,560.74 = 10,242.28 : x
  2. Step 2: Convert to fraction form
    17,794.92/24,560.74 = 10,242.28/x
  3. Step 3: Cross multiply
    17,794.92x = 24,560.74 × 10,242.28
  4. Step 4: Simplify right side
    17,794.92x = 251,557,976.09
  5. Step 5: Solve for x
    x = 251,557,976.09/17,794.92
  6. Step 6: Final answer
    x = 14,136.51

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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.