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Finding the Fourth Proportional to 19,679.78, 29,529.85 and 7,831

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Solution

The fourth proportional to 19,679.78, 29,529.85 and 7,831 is: 11,750.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,679.78 : 29,529.85 = 7,831 : x
  2. Step 2: Convert to fraction form
    19,679.78/29,529.85 = 7,831/x
  3. Step 3: Cross multiply
    19,679.78x = 29,529.85 × 7,831
  4. Step 4: Simplify right side
    19,679.78x = 231,248,255.35
  5. Step 5: Solve for x
    x = 231,248,255.35/19,679.78
  6. Step 6: Final answer
    x = 11,750.55

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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.