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Finding the Fourth Proportional to 16,714.26, 23,065.72 and 9,262.26

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Solution

The fourth proportional to 16,714.26, 23,065.72 and 9,262.26 is: 12,781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.26 : 23,065.72 = 9,262.26 : x
  2. Step 2: Convert to fraction form
    16,714.26/23,065.72 = 9,262.26/x
  3. Step 3: Cross multiply
    16,714.26x = 23,065.72 × 9,262.26
  4. Step 4: Simplify right side
    16,714.26x = 213,640,695.73
  5. Step 5: Solve for x
    x = 213,640,695.73/16,714.26
  6. Step 6: Final answer
    x = 12,781.94

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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.