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Finding the Fourth Proportional to 21,642.82, 32,467.64 and 9,162.92

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Solution

The fourth proportional to 21,642.82, 32,467.64 and 9,162.92 is: 13,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.82 : 32,467.64 = 9,162.92 : x
  2. Step 2: Convert to fraction form
    21,642.82/32,467.64 = 9,162.92/x
  3. Step 3: Cross multiply
    21,642.82x = 32,467.64 × 9,162.92
  4. Step 4: Simplify right side
    21,642.82x = 297,498,370.23
  5. Step 5: Solve for x
    x = 297,498,370.23/21,642.82
  6. Step 6: Final answer
    x = 13,745.82

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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.