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Finding the Fourth Proportional to 16,861.57, 25,294.38 and 5,770.74

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Solution

The fourth proportional to 16,861.57, 25,294.38 and 5,770.74 is: 8,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,861.57 : 25,294.38 = 5,770.74 : x
  2. Step 2: Convert to fraction form
    16,861.57/25,294.38 = 5,770.74/x
  3. Step 3: Cross multiply
    16,861.57x = 25,294.38 × 5,770.74
  4. Step 4: Simplify right side
    16,861.57x = 145,967,363.65
  5. Step 5: Solve for x
    x = 145,967,363.65/16,861.57
  6. Step 6: Final answer
    x = 8,656.81

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