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Finding the Fourth Proportional to 21,906.24, 32,858.88 and 5,490.24

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Solution

The fourth proportional to 21,906.24, 32,858.88 and 5,490.24 is: 8,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.24 : 32,858.88 = 5,490.24 : x
  2. Step 2: Convert to fraction form
    21,906.24/32,858.88 = 5,490.24/x
  3. Step 3: Cross multiply
    21,906.24x = 32,858.88 × 5,490.24
  4. Step 4: Simplify right side
    21,906.24x = 180,403,137.33
  5. Step 5: Solve for x
    x = 180,403,137.33/21,906.24
  6. Step 6: Final answer
    x = 8,235.24

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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.