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Finding the Fourth Proportional to 29,269.86, 43,902.27 and 8,208.24

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Solution

The fourth proportional to 29,269.86, 43,902.27 and 8,208.24 is: 12,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,269.86 : 43,902.27 = 8,208.24 : x
  2. Step 2: Convert to fraction form
    29,269.86/43,902.27 = 8,208.24/x
  3. Step 3: Cross multiply
    29,269.86x = 43,902.27 × 8,208.24
  4. Step 4: Simplify right side
    29,269.86x = 360,360,368.70
  5. Step 5: Solve for x
    x = 360,360,368.70/29,269.86
  6. Step 6: Final answer
    x = 12,311.65

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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.