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Finding the Fourth Proportional to 13,563.46, 20,348.36 and 4,202.99

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Solution

The fourth proportional to 13,563.46, 20,348.36 and 4,202.99 is: 6,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.46 : 20,348.36 = 4,202.99 : x
  2. Step 2: Convert to fraction form
    13,563.46/20,348.36 = 4,202.99/x
  3. Step 3: Cross multiply
    13,563.46x = 20,348.36 × 4,202.99
  4. Step 4: Simplify right side
    13,563.46x = 85,523,830.84
  5. Step 5: Solve for x
    x = 85,523,830.84/13,563.46
  6. Step 6: Final answer
    x = 6,305.46

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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.