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Finding the Fourth Proportional to 17,782.74, 26,618.16 and 12,203.46

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Solution

The fourth proportional to 17,782.74, 26,618.16 and 12,203.46 is: 18,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.74 : 26,618.16 = 12,203.46 : x
  2. Step 2: Convert to fraction form
    17,782.74/26,618.16 = 12,203.46/x
  3. Step 3: Cross multiply
    17,782.74x = 26,618.16 × 12,203.46
  4. Step 4: Simplify right side
    17,782.74x = 324,833,650.83
  5. Step 5: Solve for x
    x = 324,833,650.83/17,782.74
  6. Step 6: Final answer
    x = 18,266.79

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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.