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Finding the Fourth Proportional to 19,665.62, 29,504.91 and 7,189.46

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Solution

The fourth proportional to 19,665.62, 29,504.91 and 7,189.46 is: 10,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665.62 : 29,504.91 = 7,189.46 : x
  2. Step 2: Convert to fraction form
    19,665.62/29,504.91 = 7,189.46/x
  3. Step 3: Cross multiply
    19,665.62x = 29,504.91 × 7,189.46
  4. Step 4: Simplify right side
    19,665.62x = 212,124,370.25
  5. Step 5: Solve for x
    x = 212,124,370.25/19,665.62
  6. Step 6: Final answer
    x = 10,786.56

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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.