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Finding the Fourth Proportional to 13,223.64, 18,241.02 and 8,974.92

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Solution

The fourth proportional to 13,223.64, 18,241.02 and 8,974.92 is: 12,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.64 : 18,241.02 = 8,974.92 : x
  2. Step 2: Convert to fraction form
    13,223.64/18,241.02 = 8,974.92/x
  3. Step 3: Cross multiply
    13,223.64x = 18,241.02 × 8,974.92
  4. Step 4: Simplify right side
    13,223.64x = 163,711,695.22
  5. Step 5: Solve for x
    x = 163,711,695.22/13,223.64
  6. Step 6: Final answer
    x = 12,380.23

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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.