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Finding the Fourth Proportional to 20,571.56, 30,838.86 and 7,420.85

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Solution

The fourth proportional to 20,571.56, 30,838.86 and 7,420.85 is: 11,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571.56 : 30,838.86 = 7,420.85 : x
  2. Step 2: Convert to fraction form
    20,571.56/30,838.86 = 7,420.85/x
  3. Step 3: Cross multiply
    20,571.56x = 30,838.86 × 7,420.85
  4. Step 4: Simplify right side
    20,571.56x = 228,850,689.15
  5. Step 5: Solve for x
    x = 228,850,689.15/20,571.56
  6. Step 6: Final answer
    x = 11,124.62

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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.