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Finding the Fourth Proportional to 14,311, 21,466.77 and 3,923.02

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Solution

The fourth proportional to 14,311, 21,466.77 and 3,923.02 is: 5,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311 : 21,466.77 = 3,923.02 : x
  2. Step 2: Convert to fraction form
    14,311/21,466.77 = 3,923.02/x
  3. Step 3: Cross multiply
    14,311x = 21,466.77 × 3,923.02
  4. Step 4: Simplify right side
    14,311x = 84,214,568.05
  5. Step 5: Solve for x
    x = 84,214,568.05/14,311
  6. Step 6: Final answer
    x = 5,884.60

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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.