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Finding the Fourth Proportional to 13,164.18, 18,165.84 and 7,194.66

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Solution

The fourth proportional to 13,164.18, 18,165.84 and 7,194.66 is: 9,928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.18 : 18,165.84 = 7,194.66 : x
  2. Step 2: Convert to fraction form
    13,164.18/18,165.84 = 7,194.66/x
  3. Step 3: Cross multiply
    13,164.18x = 18,165.84 × 7,194.66
  4. Step 4: Simplify right side
    13,164.18x = 130,697,042.41
  5. Step 5: Solve for x
    x = 130,697,042.41/13,164.18
  6. Step 6: Final answer
    x = 9,928.23

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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.