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Finding the Fourth Proportional to 14,874.72, 22,311.47 and 6,109.41

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Solution

The fourth proportional to 14,874.72, 22,311.47 and 6,109.41 is: 9,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874.72 : 22,311.47 = 6,109.41 : x
  2. Step 2: Convert to fraction form
    14,874.72/22,311.47 = 6,109.41/x
  3. Step 3: Cross multiply
    14,874.72x = 22,311.47 × 6,109.41
  4. Step 4: Simplify right side
    14,874.72x = 136,309,917.93
  5. Step 5: Solve for x
    x = 136,309,917.93/14,874.72
  6. Step 6: Final answer
    x = 9,163.86

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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.