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Finding the Fourth Proportional to 13,400.52, 20,097.90 and 8,463.57

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Solution

The fourth proportional to 13,400.52, 20,097.90 and 8,463.57 is: 12,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.52 : 20,097.90 = 8,463.57 : x
  2. Step 2: Convert to fraction form
    13,400.52/20,097.90 = 8,463.57/x
  3. Step 3: Cross multiply
    13,400.52x = 20,097.90 × 8,463.57
  4. Step 4: Simplify right side
    13,400.52x = 170,099,983.50
  5. Step 5: Solve for x
    x = 170,099,983.50/13,400.52
  6. Step 6: Final answer
    x = 12,693.54

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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.