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Finding the Fourth Proportional to 24,183.84, 36,268.08 and 7,764

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Solution

The fourth proportional to 24,183.84, 36,268.08 and 7,764 is: 11,643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,183.84 : 36,268.08 = 7,764 : x
  2. Step 2: Convert to fraction form
    24,183.84/36,268.08 = 7,764/x
  3. Step 3: Cross multiply
    24,183.84x = 36,268.08 × 7,764
  4. Step 4: Simplify right side
    24,183.84x = 281,585,373.12
  5. Step 5: Solve for x
    x = 281,585,373.12/24,183.84
  6. Step 6: Final answer
    x = 11,643.53

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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.