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Finding the Fourth Proportional to 38,012.85, 57,019.32 and 11,717.37

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Solution

The fourth proportional to 38,012.85, 57,019.32 and 11,717.37 is: 17,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,012.85 : 57,019.32 = 11,717.37 : x
  2. Step 2: Convert to fraction form
    38,012.85/57,019.32 = 11,717.37/x
  3. Step 3: Cross multiply
    38,012.85x = 57,019.32 × 11,717.37
  4. Step 4: Simplify right side
    38,012.85x = 668,116,469.59
  5. Step 5: Solve for x
    x = 668,116,469.59/38,012.85
  6. Step 6: Final answer
    x = 17,576.07

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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.