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Finding the Fourth Proportional to 43,402.92, 65,105.46 and 12,237

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Solution

The fourth proportional to 43,402.92, 65,105.46 and 12,237 is: 18,355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,402.92 : 65,105.46 = 12,237 : x
  2. Step 2: Convert to fraction form
    43,402.92/65,105.46 = 12,237/x
  3. Step 3: Cross multiply
    43,402.92x = 65,105.46 × 12,237
  4. Step 4: Simplify right side
    43,402.92x = 796,695,514.02
  5. Step 5: Solve for x
    x = 796,695,514.02/43,402.92
  6. Step 6: Final answer
    x = 18,355.80

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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.