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Finding the Fourth Proportional to 12,932.44, 19,404.42 and 6,775

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Solution

The fourth proportional to 12,932.44, 19,404.42 and 6,775 is: 10,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.44 : 19,404.42 = 6,775 : x
  2. Step 2: Convert to fraction form
    12,932.44/19,404.42 = 6,775/x
  3. Step 3: Cross multiply
    12,932.44x = 19,404.42 × 6,775
  4. Step 4: Simplify right side
    12,932.44x = 131,464,945.50
  5. Step 5: Solve for x
    x = 131,464,945.50/12,932.44
  6. Step 6: Final answer
    x = 10,165.52

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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.