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Finding the Fourth Proportional to 13,232.87, 18,269.93 and 8,202.45

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Solution

The fourth proportional to 13,232.87, 18,269.93 and 8,202.45 is: 11,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.87 : 18,269.93 = 8,202.45 : x
  2. Step 2: Convert to fraction form
    13,232.87/18,269.93 = 8,202.45/x
  3. Step 3: Cross multiply
    13,232.87x = 18,269.93 × 8,202.45
  4. Step 4: Simplify right side
    13,232.87x = 149,858,146.32
  5. Step 5: Solve for x
    x = 149,858,146.32/13,232.87
  6. Step 6: Final answer
    x = 11,324.69

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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.