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Finding the Fourth Proportional to 16,243.74, 22,416.42 and 8,791.74

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Solution

The fourth proportional to 16,243.74, 22,416.42 and 8,791.74 is: 12,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.74 : 22,416.42 = 8,791.74 : x
  2. Step 2: Convert to fraction form
    16,243.74/22,416.42 = 8,791.74/x
  3. Step 3: Cross multiply
    16,243.74x = 22,416.42 × 8,791.74
  4. Step 4: Simplify right side
    16,243.74x = 197,079,336.37
  5. Step 5: Solve for x
    x = 197,079,336.37/16,243.74
  6. Step 6: Final answer
    x = 12,132.63

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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.