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Finding the Fourth Proportional to 17,893.92, 24,694.32 and 10,340

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Solution

The fourth proportional to 17,893.92, 24,694.32 and 10,340 is: 14,269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,893.92 : 24,694.32 = 10,340 : x
  2. Step 2: Convert to fraction form
    17,893.92/24,694.32 = 10,340/x
  3. Step 3: Cross multiply
    17,893.92x = 24,694.32 × 10,340
  4. Step 4: Simplify right side
    17,893.92x = 255,339,268.80
  5. Step 5: Solve for x
    x = 255,339,268.80/17,893.92
  6. Step 6: Final answer
    x = 14,269.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.