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Finding the Fourth Proportional to 23,014.92, 34,529.66 and 8,223.50

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Solution

The fourth proportional to 23,014.92, 34,529.66 and 8,223.50 is: 12,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.92 : 34,529.66 = 8,223.50 : x
  2. Step 2: Convert to fraction form
    23,014.92/34,529.66 = 8,223.50/x
  3. Step 3: Cross multiply
    23,014.92x = 34,529.66 × 8,223.50
  4. Step 4: Simplify right side
    23,014.92x = 283,954,659.01
  5. Step 5: Solve for x
    x = 283,954,659.01/23,014.92
  6. Step 6: Final answer
    x = 12,337.85

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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.