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Finding the Fourth Proportional to 10,229.43, 14,055.44 and 8,129.91

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Solution

The fourth proportional to 10,229.43, 14,055.44 and 8,129.91 is: 11,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.43 : 14,055.44 = 8,129.91 : x
  2. Step 2: Convert to fraction form
    10,229.43/14,055.44 = 8,129.91/x
  3. Step 3: Cross multiply
    10,229.43x = 14,055.44 × 8,129.91
  4. Step 4: Simplify right side
    10,229.43x = 114,269,497.35
  5. Step 5: Solve for x
    x = 114,269,497.35/10,229.43
  6. Step 6: Final answer
    x = 11,170.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.