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Finding the Fourth Proportional to 22,617.81, 31,211.78 and 12,546.68

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Solution

The fourth proportional to 22,617.81, 31,211.78 and 12,546.68 is: 17,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.81 : 31,211.78 = 12,546.68 : x
  2. Step 2: Convert to fraction form
    22,617.81/31,211.78 = 12,546.68/x
  3. Step 3: Cross multiply
    22,617.81x = 31,211.78 × 12,546.68
  4. Step 4: Simplify right side
    22,617.81x = 391,603,997.10
  5. Step 5: Solve for x
    x = 391,603,997.10/22,617.81
  6. Step 6: Final answer
    x = 17,313.97

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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.