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Finding the Fourth Proportional to 34,183.84, 51,280.32 and 11,992

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Solution

The fourth proportional to 34,183.84, 51,280.32 and 11,992 is: 17,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,183.84 : 51,280.32 = 11,992 : x
  2. Step 2: Convert to fraction form
    34,183.84/51,280.32 = 11,992/x
  3. Step 3: Cross multiply
    34,183.84x = 51,280.32 × 11,992
  4. Step 4: Simplify right side
    34,183.84x = 614,953,597.44
  5. Step 5: Solve for x
    x = 614,953,597.44/34,183.84
  6. Step 6: Final answer
    x = 17,989.60

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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.