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Finding the Fourth Proportional to 11,867.68, 17,714.56 and 10,466.44

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Solution

The fourth proportional to 11,867.68, 17,714.56 and 10,466.44 is: 15,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.68 : 17,714.56 = 10,466.44 : x
  2. Step 2: Convert to fraction form
    11,867.68/17,714.56 = 10,466.44/x
  3. Step 3: Cross multiply
    11,867.68x = 17,714.56 × 10,466.44
  4. Step 4: Simplify right side
    11,867.68x = 185,408,379.37
  5. Step 5: Solve for x
    x = 185,408,379.37/11,867.68
  6. Step 6: Final answer
    x = 15,622.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.