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Finding the Fourth Proportional to 23,042.73, 34,577.52 and 9,714.90

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Solution

The fourth proportional to 23,042.73, 34,577.52 and 9,714.90 is: 14,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,042.73 : 34,577.52 = 9,714.90 : x
  2. Step 2: Convert to fraction form
    23,042.73/34,577.52 = 9,714.90/x
  3. Step 3: Cross multiply
    23,042.73x = 34,577.52 × 9,714.90
  4. Step 4: Simplify right side
    23,042.73x = 335,917,296.93
  5. Step 5: Solve for x
    x = 335,917,296.93/23,042.73
  6. Step 6: Final answer
    x = 14,578.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.