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Finding the Fourth Proportional to 19,644.54, 29,470.05 and 7,965.78

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Solution

The fourth proportional to 19,644.54, 29,470.05 and 7,965.78 is: 11,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.54 : 29,470.05 = 7,965.78 : x
  2. Step 2: Convert to fraction form
    19,644.54/29,470.05 = 7,965.78/x
  3. Step 3: Cross multiply
    19,644.54x = 29,470.05 × 7,965.78
  4. Step 4: Simplify right side
    19,644.54x = 234,751,934.89
  5. Step 5: Solve for x
    x = 234,751,934.89/19,644.54
  6. Step 6: Final answer
    x = 11,949.98

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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.