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Finding the Fourth Proportional to 13,164.69, 18,202.27 and 11,503.94

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Solution

The fourth proportional to 13,164.69, 18,202.27 and 11,503.94 is: 15,906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.69 : 18,202.27 = 11,503.94 : x
  2. Step 2: Convert to fraction form
    13,164.69/18,202.27 = 11,503.94/x
  3. Step 3: Cross multiply
    13,164.69x = 18,202.27 × 11,503.94
  4. Step 4: Simplify right side
    13,164.69x = 209,397,826.13
  5. Step 5: Solve for x
    x = 209,397,826.13/13,164.69
  6. Step 6: Final answer
    x = 15,906.02

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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.