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Finding the Fourth Proportional to 13,563.15, 20,313.14 and 13,189.46

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Solution

The fourth proportional to 13,563.15, 20,313.14 and 13,189.46 is: 19,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.15 : 20,313.14 = 13,189.46 : x
  2. Step 2: Convert to fraction form
    13,563.15/20,313.14 = 13,189.46/x
  3. Step 3: Cross multiply
    13,563.15x = 20,313.14 × 13,189.46
  4. Step 4: Simplify right side
    13,563.15x = 267,919,179.99
  5. Step 5: Solve for x
    x = 267,919,179.99/13,563.15
  6. Step 6: Final answer
    x = 19,753.46

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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.