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Finding the Fourth Proportional to 13,507.14, 18,630.75 and 11,735.70

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Solution

The fourth proportional to 13,507.14, 18,630.75 and 11,735.70 is: 16,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.14 : 18,630.75 = 11,735.70 : x
  2. Step 2: Convert to fraction form
    13,507.14/18,630.75 = 11,735.70/x
  3. Step 3: Cross multiply
    13,507.14x = 18,630.75 × 11,735.70
  4. Step 4: Simplify right side
    13,507.14x = 218,644,892.78
  5. Step 5: Solve for x
    x = 218,644,892.78/13,507.14
  6. Step 6: Final answer
    x = 16,187.36

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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.