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Finding the Fourth Proportional to 13,164.12, 18,165.78 and 7,194.60

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Solution

The fourth proportional to 13,164.12, 18,165.78 and 7,194.60 is: 9,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.12 : 18,165.78 = 7,194.60 : x
  2. Step 2: Convert to fraction form
    13,164.12/18,165.78 = 7,194.60/x
  3. Step 3: Cross multiply
    13,164.12x = 18,165.78 × 7,194.60
  4. Step 4: Simplify right side
    13,164.12x = 130,695,520.79
  5. Step 5: Solve for x
    x = 130,695,520.79/13,164.12
  6. Step 6: Final answer
    x = 9,928.16

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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.