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Finding the Fourth Proportional to 21,499.35, 32,261.71 and 8,183.56

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Solution

The fourth proportional to 21,499.35, 32,261.71 and 8,183.56 is: 12,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,499.35 : 32,261.71 = 8,183.56 : x
  2. Step 2: Convert to fraction form
    21,499.35/32,261.71 = 8,183.56/x
  3. Step 3: Cross multiply
    21,499.35x = 32,261.71 × 8,183.56
  4. Step 4: Simplify right side
    21,499.35x = 264,015,639.49
  5. Step 5: Solve for x
    x = 264,015,639.49/21,499.35
  6. Step 6: Final answer
    x = 12,280.17

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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.