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Finding the Fourth Proportional to 17,431.83, 26,144.98 and 7,568.46

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Solution

The fourth proportional to 17,431.83, 26,144.98 and 7,568.46 is: 11,351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,431.83 : 26,144.98 = 7,568.46 : x
  2. Step 2: Convert to fraction form
    17,431.83/26,144.98 = 7,568.46/x
  3. Step 3: Cross multiply
    17,431.83x = 26,144.98 × 7,568.46
  4. Step 4: Simplify right side
    17,431.83x = 197,877,235.33
  5. Step 5: Solve for x
    x = 197,877,235.33/17,431.83
  6. Step 6: Final answer
    x = 11,351.49

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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.