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Finding the Fourth Proportional to 17,819.22, 24,590.88 and 9,861.24

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Solution

The fourth proportional to 17,819.22, 24,590.88 and 9,861.24 is: 13,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,819.22 : 24,590.88 = 9,861.24 : x
  2. Step 2: Convert to fraction form
    17,819.22/24,590.88 = 9,861.24/x
  3. Step 3: Cross multiply
    17,819.22x = 24,590.88 × 9,861.24
  4. Step 4: Simplify right side
    17,819.22x = 242,496,569.49
  5. Step 5: Solve for x
    x = 242,496,569.49/17,819.22
  6. Step 6: Final answer
    x = 13,608.71

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1.5x scale

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.