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Finding the Fourth Proportional to 17,426.26, 26,124.78 and 12,145.78

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Solution

The fourth proportional to 17,426.26, 26,124.78 and 12,145.78 is: 18,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,426.26 : 26,124.78 = 12,145.78 : x
  2. Step 2: Convert to fraction form
    17,426.26/26,124.78 = 12,145.78/x
  3. Step 3: Cross multiply
    17,426.26x = 26,124.78 × 12,145.78
  4. Step 4: Simplify right side
    17,426.26x = 317,305,830.43
  5. Step 5: Solve for x
    x = 317,305,830.43/17,426.26
  6. Step 6: Final answer
    x = 18,208.49

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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.