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Finding the Fourth Proportional to 19,504.27, 29,256.36 and 7,825.69

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Solution

The fourth proportional to 19,504.27, 29,256.36 and 7,825.69 is: 11,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504.27 : 29,256.36 = 7,825.69 : x
  2. Step 2: Convert to fraction form
    19,504.27/29,256.36 = 7,825.69/x
  3. Step 3: Cross multiply
    19,504.27x = 29,256.36 × 7,825.69
  4. Step 4: Simplify right side
    19,504.27x = 228,951,203.89
  5. Step 5: Solve for x
    x = 228,951,203.89/19,504.27
  6. Step 6: Final answer
    x = 11,738.52

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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.