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Finding the Fourth Proportional to 21,183.84, 31,775.98 and 6,392.88

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Solution

The fourth proportional to 21,183.84, 31,775.98 and 6,392.88 is: 9,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,183.84 : 31,775.98 = 6,392.88 : x
  2. Step 2: Convert to fraction form
    21,183.84/31,775.98 = 6,392.88/x
  3. Step 3: Cross multiply
    21,183.84x = 31,775.98 × 6,392.88
  4. Step 4: Simplify right side
    21,183.84x = 203,140,027.02
  5. Step 5: Solve for x
    x = 203,140,027.02/21,183.84
  6. Step 6: Final answer
    x = 9,589.39

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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.