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Finding the Fourth Proportional to 13,520.52, 20,285.64 and 6,500.25

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Solution

The fourth proportional to 13,520.52, 20,285.64 and 6,500.25 is: 9,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520.52 : 20,285.64 = 6,500.25 : x
  2. Step 2: Convert to fraction form
    13,520.52/20,285.64 = 6,500.25/x
  3. Step 3: Cross multiply
    13,520.52x = 20,285.64 × 6,500.25
  4. Step 4: Simplify right side
    13,520.52x = 131,861,731.41
  5. Step 5: Solve for x
    x = 131,861,731.41/13,520.52
  6. Step 6: Final answer
    x = 9,752.71

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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.