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Finding the Fourth Proportional to 17,846.78, 26,770.48 and 4,698.66

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Solution

The fourth proportional to 17,846.78, 26,770.48 and 4,698.66 is: 7,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.78 : 26,770.48 = 4,698.66 : x
  2. Step 2: Convert to fraction form
    17,846.78/26,770.48 = 4,698.66/x
  3. Step 3: Cross multiply
    17,846.78x = 26,770.48 × 4,698.66
  4. Step 4: Simplify right side
    17,846.78x = 125,785,383.56
  5. Step 5: Solve for x
    x = 125,785,383.56/17,846.78
  6. Step 6: Final answer
    x = 7,048.07

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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.