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Finding the Fourth Proportional to 14,311.56, 21,448.86 and 6,408.30

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Solution

The fourth proportional to 14,311.56, 21,448.86 and 6,408.30 is: 9,604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.56 : 21,448.86 = 6,408.30 : x
  2. Step 2: Convert to fraction form
    14,311.56/21,448.86 = 6,408.30/x
  3. Step 3: Cross multiply
    14,311.56x = 21,448.86 × 6,408.30
  4. Step 4: Simplify right side
    14,311.56x = 137,450,729.54
  5. Step 5: Solve for x
    x = 137,450,729.54/14,311.56
  6. Step 6: Final answer
    x = 9,604.18

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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.