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Finding the Fourth Proportional to 18,149.24, 25,046.10 and 10,192.20

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Solution

The fourth proportional to 18,149.24, 25,046.10 and 10,192.20 is: 14,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,149.24 : 25,046.10 = 10,192.20 : x
  2. Step 2: Convert to fraction form
    18,149.24/25,046.10 = 10,192.20/x
  3. Step 3: Cross multiply
    18,149.24x = 25,046.10 × 10,192.20
  4. Step 4: Simplify right side
    18,149.24x = 255,274,860.42
  5. Step 5: Solve for x
    x = 255,274,860.42/18,149.24
  6. Step 6: Final answer
    x = 14,065.32

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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.