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Finding the Fourth Proportional to 22,857.86, 34,289.53 and 8,063.72

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Solution

The fourth proportional to 22,857.86, 34,289.53 and 8,063.72 is: 12,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.86 : 34,289.53 = 8,063.72 : x
  2. Step 2: Convert to fraction form
    22,857.86/34,289.53 = 8,063.72/x
  3. Step 3: Cross multiply
    22,857.86x = 34,289.53 × 8,063.72
  4. Step 4: Simplify right side
    22,857.86x = 276,501,168.85
  5. Step 5: Solve for x
    x = 276,501,168.85/22,857.86
  6. Step 6: Final answer
    x = 12,096.55

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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.