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Finding the Fourth Proportional to 17,770.50, 26,655.89 and 6,083.82

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Solution

The fourth proportional to 17,770.50, 26,655.89 and 6,083.82 is: 9,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.50 : 26,655.89 = 6,083.82 : x
  2. Step 2: Convert to fraction form
    17,770.50/26,655.89 = 6,083.82/x
  3. Step 3: Cross multiply
    17,770.50x = 26,655.89 × 6,083.82
  4. Step 4: Simplify right side
    17,770.50x = 162,169,606.28
  5. Step 5: Solve for x
    x = 162,169,606.28/17,770.50
  6. Step 6: Final answer
    x = 9,125.78

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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.