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Finding the Fourth Proportional to 22,723.70, 34,099.74 and 8,684.91

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Solution

The fourth proportional to 22,723.70, 34,099.74 and 8,684.91 is: 13,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,723.70 : 34,099.74 = 8,684.91 : x
  2. Step 2: Convert to fraction form
    22,723.70/34,099.74 = 8,684.91/x
  3. Step 3: Cross multiply
    22,723.70x = 34,099.74 × 8,684.91
  4. Step 4: Simplify right side
    22,723.70x = 296,153,172.92
  5. Step 5: Solve for x
    x = 296,153,172.92/22,723.70
  6. Step 6: Final answer
    x = 13,032.79

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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.