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Finding the Fourth Proportional to 15,714.86, 23,557.43 and 5,847.44

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Solution

The fourth proportional to 15,714.86, 23,557.43 and 5,847.44 is: 8,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.86 : 23,557.43 = 5,847.44 : x
  2. Step 2: Convert to fraction form
    15,714.86/23,557.43 = 5,847.44/x
  3. Step 3: Cross multiply
    15,714.86x = 23,557.43 × 5,847.44
  4. Step 4: Simplify right side
    15,714.86x = 137,750,555.31
  5. Step 5: Solve for x
    x = 137,750,555.31/15,714.86
  6. Step 6: Final answer
    x = 8,765.63

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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.