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Finding the Fourth Proportional to 20,765.44, 31,174.08 and 19,823.68

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Solution

The fourth proportional to 20,765.44, 31,174.08 and 19,823.68 is: 29,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.44 : 31,174.08 = 19,823.68 : x
  2. Step 2: Convert to fraction form
    20,765.44/31,174.08 = 19,823.68/x
  3. Step 3: Cross multiply
    20,765.44x = 31,174.08 × 19,823.68
  4. Step 4: Simplify right side
    20,765.44x = 617,984,986.21
  5. Step 5: Solve for x
    x = 617,984,986.21/20,765.44
  6. Step 6: Final answer
    x = 29,760.26

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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.