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Finding the Fourth Proportional to 16,771.81, 25,142.09 and 5,670.74

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Solution

The fourth proportional to 16,771.81, 25,142.09 and 5,670.74 is: 8,500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,771.81 : 25,142.09 = 5,670.74 : x
  2. Step 2: Convert to fraction form
    16,771.81/25,142.09 = 5,670.74/x
  3. Step 3: Cross multiply
    16,771.81x = 25,142.09 × 5,670.74
  4. Step 4: Simplify right side
    16,771.81x = 142,574,255.45
  5. Step 5: Solve for x
    x = 142,574,255.45/16,771.81
  6. Step 6: Final answer
    x = 8,500.83

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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.