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Finding the Fourth Proportional to 17,900.72, 24,703.38 and 9,834.48

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Solution

The fourth proportional to 17,900.72, 24,703.38 and 9,834.48 is: 13,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,900.72 : 24,703.38 = 9,834.48 : x
  2. Step 2: Convert to fraction form
    17,900.72/24,703.38 = 9,834.48/x
  3. Step 3: Cross multiply
    17,900.72x = 24,703.38 × 9,834.48
  4. Step 4: Simplify right side
    17,900.72x = 242,944,859.37
  5. Step 5: Solve for x
    x = 242,944,859.37/17,900.72
  6. Step 6: Final answer
    x = 13,571.79

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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.