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Finding the Fourth Proportional to 12,189.75, 16,822.23 and 6,812.61

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Solution

The fourth proportional to 12,189.75, 16,822.23 and 6,812.61 is: 9,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.75 : 16,822.23 = 6,812.61 : x
  2. Step 2: Convert to fraction form
    12,189.75/16,822.23 = 6,812.61/x
  3. Step 3: Cross multiply
    12,189.75x = 16,822.23 × 6,812.61
  4. Step 4: Simplify right side
    12,189.75x = 114,603,292.32
  5. Step 5: Solve for x
    x = 114,603,292.32/12,189.75
  6. Step 6: Final answer
    x = 9,401.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.