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Finding the Fourth Proportional to 16,714.50, 25,083.27 and 5,770.50

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Solution

The fourth proportional to 16,714.50, 25,083.27 and 5,770.50 is: 8,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.50 : 25,083.27 = 5,770.50 : x
  2. Step 2: Convert to fraction form
    16,714.50/25,083.27 = 5,770.50/x
  3. Step 3: Cross multiply
    16,714.50x = 25,083.27 × 5,770.50
  4. Step 4: Simplify right side
    16,714.50x = 144,743,009.54
  5. Step 5: Solve for x
    x = 144,743,009.54/16,714.50
  6. Step 6: Final answer
    x = 8,659.73

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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.