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Finding the Fourth Proportional to 21,643.37, 32,467.79 and 6,846.95

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Solution

The fourth proportional to 21,643.37, 32,467.79 and 6,846.95 is: 10,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.37 : 32,467.79 = 6,846.95 : x
  2. Step 2: Convert to fraction form
    21,643.37/32,467.79 = 6,846.95/x
  3. Step 3: Cross multiply
    21,643.37x = 32,467.79 × 6,846.95
  4. Step 4: Simplify right side
    21,643.37x = 222,305,138.17
  5. Step 5: Solve for x
    x = 222,305,138.17/21,643.37
  6. Step 6: Final answer
    x = 10,271.28

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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.