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Finding the Fourth Proportional to 19,512.64, 29,270.33 and 7,825.86

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Solution

The fourth proportional to 19,512.64, 29,270.33 and 7,825.86 is: 11,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,512.64 : 29,270.33 = 7,825.86 : x
  2. Step 2: Convert to fraction form
    19,512.64/29,270.33 = 7,825.86/x
  3. Step 3: Cross multiply
    19,512.64x = 29,270.33 × 7,825.86
  4. Step 4: Simplify right side
    19,512.64x = 229,065,504.73
  5. Step 5: Solve for x
    x = 229,065,504.73/19,512.64
  6. Step 6: Final answer
    x = 11,739.34

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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.