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Finding the Fourth Proportional to 13,500.86, 20,232.81 and 8,573.94

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Solution

The fourth proportional to 13,500.86, 20,232.81 and 8,573.94 is: 12,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.86 : 20,232.81 = 8,573.94 : x
  2. Step 2: Convert to fraction form
    13,500.86/20,232.81 = 8,573.94/x
  3. Step 3: Cross multiply
    13,500.86x = 20,232.81 × 8,573.94
  4. Step 4: Simplify right side
    13,500.86x = 173,474,898.97
  5. Step 5: Solve for x
    x = 173,474,898.97/13,500.86
  6. Step 6: Final answer
    x = 12,849.18

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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.