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Finding the Fourth Proportional to 12,832.60, 19,249.44 and 7,627

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Solution

The fourth proportional to 12,832.60, 19,249.44 and 7,627 is: 11,440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.60 : 19,249.44 = 7,627 : x
  2. Step 2: Convert to fraction form
    12,832.60/19,249.44 = 7,627/x
  3. Step 3: Cross multiply
    12,832.60x = 19,249.44 × 7,627
  4. Step 4: Simplify right side
    12,832.60x = 146,815,478.88
  5. Step 5: Solve for x
    x = 146,815,478.88/12,832.60
  6. Step 6: Final answer
    x = 11,440.82

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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.