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Finding the Fourth Proportional to 17,204.91, 25,814.65 and 9,404.61

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Solution

The fourth proportional to 17,204.91, 25,814.65 and 9,404.61 is: 14,110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.91 : 25,814.65 = 9,404.61 : x
  2. Step 2: Convert to fraction form
    17,204.91/25,814.65 = 9,404.61/x
  3. Step 3: Cross multiply
    17,204.91x = 25,814.65 × 9,404.61
  4. Step 4: Simplify right side
    17,204.91x = 242,776,715.54
  5. Step 5: Solve for x
    x = 242,776,715.54/17,204.91
  6. Step 6: Final answer
    x = 14,110.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.