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Finding the Fourth Proportional to 14,817.62, 20,449.17 and 8,446.16

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Solution

The fourth proportional to 14,817.62, 20,449.17 and 8,446.16 is: 11,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,817.62 : 20,449.17 = 8,446.16 : x
  2. Step 2: Convert to fraction form
    14,817.62/20,449.17 = 8,446.16/x
  3. Step 3: Cross multiply
    14,817.62x = 20,449.17 × 8,446.16
  4. Step 4: Simplify right side
    14,817.62x = 172,716,859.44
  5. Step 5: Solve for x
    x = 172,716,859.44/14,817.62
  6. Step 6: Final answer
    x = 11,656.18

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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.