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Finding the Fourth Proportional to 13,563.45, 20,337.89 and 4,199.45

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Solution

The fourth proportional to 13,563.45, 20,337.89 and 4,199.45 is: 6,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.45 : 20,337.89 = 4,199.45 : x
  2. Step 2: Convert to fraction form
    13,563.45/20,337.89 = 4,199.45/x
  3. Step 3: Cross multiply
    13,563.45x = 20,337.89 × 4,199.45
  4. Step 4: Simplify right side
    13,563.45x = 85,407,829.47
  5. Step 5: Solve for x
    x = 85,407,829.47/13,563.45
  6. Step 6: Final answer
    x = 6,296.91

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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.