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Finding the Fourth Proportional to 23,813.39, 35,719.68 and 8,230.61

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Solution

The fourth proportional to 23,813.39, 35,719.68 and 8,230.61 is: 12,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.39 : 35,719.68 = 8,230.61 : x
  2. Step 2: Convert to fraction form
    23,813.39/35,719.68 = 8,230.61/x
  3. Step 3: Cross multiply
    23,813.39x = 35,719.68 × 8,230.61
  4. Step 4: Simplify right side
    23,813.39x = 293,994,755.40
  5. Step 5: Solve for x
    x = 293,994,755.40/23,813.39
  6. Step 6: Final answer
    x = 12,345.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.