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Finding the Fourth Proportional to 12,910.85, 19,369.94 and 6,674.25

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Solution

The fourth proportional to 12,910.85, 19,369.94 and 6,674.25 is: 10,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,910.85 : 19,369.94 = 6,674.25 : x
  2. Step 2: Convert to fraction form
    12,910.85/19,369.94 = 6,674.25/x
  3. Step 3: Cross multiply
    12,910.85x = 19,369.94 × 6,674.25
  4. Step 4: Simplify right side
    12,910.85x = 129,279,822.05
  5. Step 5: Solve for x
    x = 129,279,822.05/12,910.85
  6. Step 6: Final answer
    x = 10,013.27

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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.