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Finding the Fourth Proportional to 13,184.64, 18,194.22 and 7,216.56

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Solution

The fourth proportional to 13,184.64, 18,194.22 and 7,216.56 is: 9,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.64 : 18,194.22 = 7,216.56 : x
  2. Step 2: Convert to fraction form
    13,184.64/18,194.22 = 7,216.56/x
  3. Step 3: Cross multiply
    13,184.64x = 18,194.22 × 7,216.56
  4. Step 4: Simplify right side
    13,184.64x = 131,299,680.28
  5. Step 5: Solve for x
    x = 131,299,680.28/13,184.64
  6. Step 6: Final answer
    x = 9,958.53

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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.