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Finding the Fourth Proportional to 13,467.16, 18,565.20 and 8,922.24

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Solution

The fourth proportional to 13,467.16, 18,565.20 and 8,922.24 is: 12,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467.16 : 18,565.20 = 8,922.24 : x
  2. Step 2: Convert to fraction form
    13,467.16/18,565.20 = 8,922.24/x
  3. Step 3: Cross multiply
    13,467.16x = 18,565.20 × 8,922.24
  4. Step 4: Simplify right side
    13,467.16x = 165,643,170.05
  5. Step 5: Solve for x
    x = 165,643,170.05/13,467.16
  6. Step 6: Final answer
    x = 12,299.78

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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.