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Finding the Fourth Proportional to 21,191.05, 31,781.25 and 8,714.56

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Solution

The fourth proportional to 21,191.05, 31,781.25 and 8,714.56 is: 13,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.05 : 31,781.25 = 8,714.56 : x
  2. Step 2: Convert to fraction form
    21,191.05/31,781.25 = 8,714.56/x
  3. Step 3: Cross multiply
    21,191.05x = 31,781.25 × 8,714.56
  4. Step 4: Simplify right side
    21,191.05x = 276,959,610
  5. Step 5: Solve for x
    x = 276,959,610/21,191.05
  6. Step 6: Final answer
    x = 13,069.65

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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.