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Finding the Fourth Proportional to 17,770.81, 26,659.98 and 6,677.60

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Solution

The fourth proportional to 17,770.81, 26,659.98 and 6,677.60 is: 10,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.81 : 26,659.98 = 6,677.60 : x
  2. Step 2: Convert to fraction form
    17,770.81/26,659.98 = 6,677.60/x
  3. Step 3: Cross multiply
    17,770.81x = 26,659.98 × 6,677.60
  4. Step 4: Simplify right side
    17,770.81x = 178,024,609.54
  5. Step 5: Solve for x
    x = 178,024,609.54/17,770.81
  6. Step 6: Final answer
    x = 10,017.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.