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Finding the Fourth Proportional to 13,193.25, 18,203.78 and 8,089.86

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Solution

The fourth proportional to 13,193.25, 18,203.78 and 8,089.86 is: 11,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.25 : 18,203.78 = 8,089.86 : x
  2. Step 2: Convert to fraction form
    13,193.25/18,203.78 = 8,089.86/x
  3. Step 3: Cross multiply
    13,193.25x = 18,203.78 × 8,089.86
  4. Step 4: Simplify right side
    13,193.25x = 147,265,991.22
  5. Step 5: Solve for x
    x = 147,265,991.22/13,193.25
  6. Step 6: Final answer
    x = 11,162.22

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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.