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Finding the Fourth Proportional to 14,231.14, 21,352.86 and 5,464.02

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Solution

The fourth proportional to 14,231.14, 21,352.86 and 5,464.02 is: 8,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.14 : 21,352.86 = 5,464.02 : x
  2. Step 2: Convert to fraction form
    14,231.14/21,352.86 = 5,464.02/x
  3. Step 3: Cross multiply
    14,231.14x = 21,352.86 × 5,464.02
  4. Step 4: Simplify right side
    14,231.14x = 116,672,454.10
  5. Step 5: Solve for x
    x = 116,672,454.10/14,231.14
  6. Step 6: Final answer
    x = 8,198.39

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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.