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Finding the Fourth Proportional to 13,647.14, 20,463.79 and 6,245.26

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Solution

The fourth proportional to 13,647.14, 20,463.79 and 6,245.26 is: 9,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.14 : 20,463.79 = 6,245.26 : x
  2. Step 2: Convert to fraction form
    13,647.14/20,463.79 = 6,245.26/x
  3. Step 3: Cross multiply
    13,647.14x = 20,463.79 × 6,245.26
  4. Step 4: Simplify right side
    13,647.14x = 127,801,699.10
  5. Step 5: Solve for x
    x = 127,801,699.10/13,647.14
  6. Step 6: Final answer
    x = 9,364.72

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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.