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Finding the Fourth Proportional to 13,224.30, 18,249.72 and 7,255.86

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Solution

The fourth proportional to 13,224.30, 18,249.72 and 7,255.86 is: 10,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.30 : 18,249.72 = 7,255.86 : x
  2. Step 2: Convert to fraction form
    13,224.30/18,249.72 = 7,255.86/x
  3. Step 3: Cross multiply
    13,224.30x = 18,249.72 × 7,255.86
  4. Step 4: Simplify right side
    13,224.30x = 132,417,413.36
  5. Step 5: Solve for x
    x = 132,417,413.36/13,224.30
  6. Step 6: Final answer
    x = 10,013.19

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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.