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Finding the Fourth Proportional to 11,830.73, 17,709.17 and 8,714.25

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Solution

The fourth proportional to 11,830.73, 17,709.17 and 8,714.25 is: 13,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.73 : 17,709.17 = 8,714.25 : x
  2. Step 2: Convert to fraction form
    11,830.73/17,709.17 = 8,714.25/x
  3. Step 3: Cross multiply
    11,830.73x = 17,709.17 × 8,714.25
  4. Step 4: Simplify right side
    11,830.73x = 154,322,091.10
  5. Step 5: Solve for x
    x = 154,322,091.10/11,830.73
  6. Step 6: Final answer
    x = 13,044.18

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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.