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Finding the Fourth Proportional to 20,590.57, 30,861.97 and 9,473.92

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Solution

The fourth proportional to 20,590.57, 30,861.97 and 9,473.92 is: 14,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.57 : 30,861.97 = 9,473.92 : x
  2. Step 2: Convert to fraction form
    20,590.57/30,861.97 = 9,473.92/x
  3. Step 3: Cross multiply
    20,590.57x = 30,861.97 × 9,473.92
  4. Step 4: Simplify right side
    20,590.57x = 292,383,834.82
  5. Step 5: Solve for x
    x = 292,383,834.82/20,590.57
  6. Step 6: Final answer
    x = 14,199.89

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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.