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Finding the Fourth Proportional to 17,770.33, 26,626.32 and 6,077.17

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Solution

The fourth proportional to 17,770.33, 26,626.32 and 6,077.17 is: 9,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.33 : 26,626.32 = 6,077.17 : x
  2. Step 2: Convert to fraction form
    17,770.33/26,626.32 = 6,077.17/x
  3. Step 3: Cross multiply
    17,770.33x = 26,626.32 × 6,077.17
  4. Step 4: Simplify right side
    17,770.33x = 161,812,673.11
  5. Step 5: Solve for x
    x = 161,812,673.11/17,770.33
  6. Step 6: Final answer
    x = 9,105.78

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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.