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Finding the Fourth Proportional to 13,464.70, 20,187.68 and 5,964.19

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Solution

The fourth proportional to 13,464.70, 20,187.68 and 5,964.19 is: 8,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.70 : 20,187.68 = 5,964.19 : x
  2. Step 2: Convert to fraction form
    13,464.70/20,187.68 = 5,964.19/x
  3. Step 3: Cross multiply
    13,464.70x = 20,187.68 × 5,964.19
  4. Step 4: Simplify right side
    13,464.70x = 120,403,076.02
  5. Step 5: Solve for x
    x = 120,403,076.02/13,464.70
  6. Step 6: Final answer
    x = 8,942.13

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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.