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Finding the Fourth Proportional to 17,906.17, 24,713.52 and 10,351.20

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Solution

The fourth proportional to 17,906.17, 24,713.52 and 10,351.20 is: 14,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.17 : 24,713.52 = 10,351.20 : x
  2. Step 2: Convert to fraction form
    17,906.17/24,713.52 = 10,351.20/x
  3. Step 3: Cross multiply
    17,906.17x = 24,713.52 × 10,351.20
  4. Step 4: Simplify right side
    17,906.17x = 255,814,588.22
  5. Step 5: Solve for x
    x = 255,814,588.22/17,906.17
  6. Step 6: Final answer
    x = 14,286.39

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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.