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Finding the Fourth Proportional to 17,770.70, 26,655.14 and 6,676.54

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Solution

The fourth proportional to 17,770.70, 26,655.14 and 6,676.54 is: 10,014.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.70 : 26,655.14 = 6,676.54 : x
  2. Step 2: Convert to fraction form
    17,770.70/26,655.14 = 6,676.54/x
  3. Step 3: Cross multiply
    17,770.70x = 26,655.14 × 6,676.54
  4. Step 4: Simplify right side
    17,770.70x = 177,964,058.47
  5. Step 5: Solve for x
    x = 177,964,058.47/17,770.70
  6. Step 6: Final answer
    x = 10,014.46

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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.