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Finding the Fourth Proportional to 16,714.35, 23,066.17 and 9,640.62

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Solution

The fourth proportional to 16,714.35, 23,066.17 and 9,640.62 is: 13,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.35 : 23,066.17 = 9,640.62 : x
  2. Step 2: Convert to fraction form
    16,714.35/23,066.17 = 9,640.62/x
  3. Step 3: Cross multiply
    16,714.35x = 23,066.17 × 9,640.62
  4. Step 4: Simplify right side
    16,714.35x = 222,372,155.72
  5. Step 5: Solve for x
    x = 222,372,155.72/16,714.35
  6. Step 6: Final answer
    x = 13,304.27

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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.