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Finding the Fourth Proportional to 17,757.74, 26,628.80 and 9,435.80

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Solution

The fourth proportional to 17,757.74, 26,628.80 and 9,435.80 is: 14,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.74 : 26,628.80 = 9,435.80 : x
  2. Step 2: Convert to fraction form
    17,757.74/26,628.80 = 9,435.80/x
  3. Step 3: Cross multiply
    17,757.74x = 26,628.80 × 9,435.80
  4. Step 4: Simplify right side
    17,757.74x = 251,264,031.04
  5. Step 5: Solve for x
    x = 251,264,031.04/17,757.74
  6. Step 6: Final answer
    x = 14,149.55

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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.