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Finding the Fourth Proportional to 17,825.85, 26,738.06 and 6,147.45

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Solution

The fourth proportional to 17,825.85, 26,738.06 and 6,147.45 is: 9,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.85 : 26,738.06 = 6,147.45 : x
  2. Step 2: Convert to fraction form
    17,825.85/26,738.06 = 6,147.45/x
  3. Step 3: Cross multiply
    17,825.85x = 26,738.06 × 6,147.45
  4. Step 4: Simplify right side
    17,825.85x = 164,370,856.21
  5. Step 5: Solve for x
    x = 164,370,856.21/17,825.85
  6. Step 6: Final answer
    x = 9,220.93

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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.