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Finding the Fourth Proportional to 17,819.50, 24,592.06 and 9,861.72

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Solution

The fourth proportional to 17,819.50, 24,592.06 and 9,861.72 is: 13,609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,819.50 : 24,592.06 = 9,861.72 : x
  2. Step 2: Convert to fraction form
    17,819.50/24,592.06 = 9,861.72/x
  3. Step 3: Cross multiply
    17,819.50x = 24,592.06 × 9,861.72
  4. Step 4: Simplify right side
    17,819.50x = 242,520,009.94
  5. Step 5: Solve for x
    x = 242,520,009.94/17,819.50
  6. Step 6: Final answer
    x = 13,609.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.