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Finding the Fourth Proportional to 14,917.16, 22,375.22 and 3,823.96

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Solution

The fourth proportional to 14,917.16, 22,375.22 and 3,823.96 is: 5,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917.16 : 22,375.22 = 3,823.96 : x
  2. Step 2: Convert to fraction form
    14,917.16/22,375.22 = 3,823.96/x
  3. Step 3: Cross multiply
    14,917.16x = 22,375.22 × 3,823.96
  4. Step 4: Simplify right side
    14,917.16x = 85,561,946.27
  5. Step 5: Solve for x
    x = 85,561,946.27/14,917.16
  6. Step 6: Final answer
    x = 5,735.81

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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.