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Finding the Fourth Proportional to 29,223, 43,834.74 and 8,446.68

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Solution

The fourth proportional to 29,223, 43,834.74 and 8,446.68 is: 12,670.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,223 : 43,834.74 = 8,446.68 : x
  2. Step 2: Convert to fraction form
    29,223/43,834.74 = 8,446.68/x
  3. Step 3: Cross multiply
    29,223x = 43,834.74 × 8,446.68
  4. Step 4: Simplify right side
    29,223x = 370,258,021.66
  5. Step 5: Solve for x
    x = 370,258,021.66/29,223
  6. Step 6: Final answer
    x = 12,670.09

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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.