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Finding the Fourth Proportional to 12,190.15, 16,822.18 and 6,812.66

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Solution

The fourth proportional to 12,190.15, 16,822.18 and 6,812.66 is: 9,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.15 : 16,822.18 = 6,812.66 : x
  2. Step 2: Convert to fraction form
    12,190.15/16,822.18 = 6,812.66/x
  3. Step 3: Cross multiply
    12,190.15x = 16,822.18 × 6,812.66
  4. Step 4: Simplify right side
    12,190.15x = 114,603,748.75
  5. Step 5: Solve for x
    x = 114,603,748.75/12,190.15
  6. Step 6: Final answer
    x = 9,401.34

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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.