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Finding the Fourth Proportional to 13,714.74, 20,562.84 and 4,351.86

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Solution

The fourth proportional to 13,714.74, 20,562.84 and 4,351.86 is: 6,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.74 : 20,562.84 = 4,351.86 : x
  2. Step 2: Convert to fraction form
    13,714.74/20,562.84 = 4,351.86/x
  3. Step 3: Cross multiply
    13,714.74x = 20,562.84 × 4,351.86
  4. Step 4: Simplify right side
    13,714.74x = 89,486,600.88
  5. Step 5: Solve for x
    x = 89,486,600.88/13,714.74
  6. Step 6: Final answer
    x = 6,524.85

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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.