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Finding the Fourth Proportional to 21,226.80, 31,840.16 and 5,644.44

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Solution

The fourth proportional to 21,226.80, 31,840.16 and 5,644.44 is: 8,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,226.80 : 31,840.16 = 5,644.44 : x
  2. Step 2: Convert to fraction form
    21,226.80/31,840.16 = 5,644.44/x
  3. Step 3: Cross multiply
    21,226.80x = 31,840.16 × 5,644.44
  4. Step 4: Simplify right side
    21,226.80x = 179,719,872.71
  5. Step 5: Solve for x
    x = 179,719,872.71/21,226.80
  6. Step 6: Final answer
    x = 8,466.65

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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.