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Finding the Fourth Proportional to 13,422.42, 18,524.64 and 8,117.24

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Solution

The fourth proportional to 13,422.42, 18,524.64 and 8,117.24 is: 11,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.42 : 18,524.64 = 8,117.24 : x
  2. Step 2: Convert to fraction form
    13,422.42/18,524.64 = 8,117.24/x
  3. Step 3: Cross multiply
    13,422.42x = 18,524.64 × 8,117.24
  4. Step 4: Simplify right side
    13,422.42x = 150,368,856.17
  5. Step 5: Solve for x
    x = 150,368,856.17/13,422.42
  6. Step 6: Final answer
    x = 11,202.81

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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.