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Finding the Fourth Proportional to 26,482, 39,723 and 9,846.22

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Solution

The fourth proportional to 26,482, 39,723 and 9,846.22 is: 14,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,482 : 39,723 = 9,846.22 : x
  2. Step 2: Convert to fraction form
    26,482/39,723 = 9,846.22/x
  3. Step 3: Cross multiply
    26,482x = 39,723 × 9,846.22
  4. Step 4: Simplify right side
    26,482x = 391,121,397.06
  5. Step 5: Solve for x
    x = 391,121,397.06/26,482
  6. Step 6: Final answer
    x = 14,769.33

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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.