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Finding the Fourth Proportional to 13,164.32, 18,166.77 and 7,196.09

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Solution

The fourth proportional to 13,164.32, 18,166.77 and 7,196.09 is: 9,930.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.32 : 18,166.77 = 7,196.09 : x
  2. Step 2: Convert to fraction form
    13,164.32/18,166.77 = 7,196.09/x
  3. Step 3: Cross multiply
    13,164.32x = 18,166.77 × 7,196.09
  4. Step 4: Simplify right side
    13,164.32x = 130,729,621.10
  5. Step 5: Solve for x
    x = 130,729,621.10/13,164.32
  6. Step 6: Final answer
    x = 9,930.61

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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.