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Finding the Fourth Proportional to 12,914.11, 17,765.54 and 11,313.55

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Solution

The fourth proportional to 12,914.11, 17,765.54 and 11,313.55 is: 15,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.11 : 17,765.54 = 11,313.55 : x
  2. Step 2: Convert to fraction form
    12,914.11/17,765.54 = 11,313.55/x
  3. Step 3: Cross multiply
    12,914.11x = 17,765.54 × 11,313.55
  4. Step 4: Simplify right side
    12,914.11x = 200,991,236.24
  5. Step 5: Solve for x
    x = 200,991,236.24/12,914.11
  6. Step 6: Final answer
    x = 15,563.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.