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Finding the Fourth Proportional to 17,855.70, 26,762.49 and 6,162.54

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Solution

The fourth proportional to 17,855.70, 26,762.49 and 6,162.54 is: 9,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.70 : 26,762.49 = 6,162.54 : x
  2. Step 2: Convert to fraction form
    17,855.70/26,762.49 = 6,162.54/x
  3. Step 3: Cross multiply
    17,855.70x = 26,762.49 × 6,162.54
  4. Step 4: Simplify right side
    17,855.70x = 164,924,915.12
  5. Step 5: Solve for x
    x = 164,924,915.12/17,855.70
  6. Step 6: Final answer
    x = 9,236.54

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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.