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Finding the Fourth Proportional to 17,644.50, 24,351.57 and 10,192.50

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Solution

The fourth proportional to 17,644.50, 24,351.57 and 10,192.50 is: 14,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.50 : 24,351.57 = 10,192.50 : x
  2. Step 2: Convert to fraction form
    17,644.50/24,351.57 = 10,192.50/x
  3. Step 3: Cross multiply
    17,644.50x = 24,351.57 × 10,192.50
  4. Step 4: Simplify right side
    17,644.50x = 248,203,377.23
  5. Step 5: Solve for x
    x = 248,203,377.23/17,644.50
  6. Step 6: Final answer
    x = 14,066.90

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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.