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Finding the Fourth Proportional to 13,201.86, 18,217.61 and 7,232.57

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Solution

The fourth proportional to 13,201.86, 18,217.61 and 7,232.57 is: 9,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.86 : 18,217.61 = 7,232.57 : x
  2. Step 2: Convert to fraction form
    13,201.86/18,217.61 = 7,232.57/x
  3. Step 3: Cross multiply
    13,201.86x = 18,217.61 × 7,232.57
  4. Step 4: Simplify right side
    13,201.86x = 131,760,012.31
  5. Step 5: Solve for x
    x = 131,760,012.31/13,201.86
  6. Step 6: Final answer
    x = 9,980.41

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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.