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Finding the Fourth Proportional to 12,313.98, 18,469.32 and 3,429.90

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Solution

The fourth proportional to 12,313.98, 18,469.32 and 3,429.90 is: 5,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.98 : 18,469.32 = 3,429.90 : x
  2. Step 2: Convert to fraction form
    12,313.98/18,469.32 = 3,429.90/x
  3. Step 3: Cross multiply
    12,313.98x = 18,469.32 × 3,429.90
  4. Step 4: Simplify right side
    12,313.98x = 63,347,920.67
  5. Step 5: Solve for x
    x = 63,347,920.67/12,313.98
  6. Step 6: Final answer
    x = 5,144.39

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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.