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Finding the Fourth Proportional to 19,877.26, 29,816.92 and 5,086.30

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Solution

The fourth proportional to 19,877.26, 29,816.92 and 5,086.30 is: 7,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.26 : 29,816.92 = 5,086.30 : x
  2. Step 2: Convert to fraction form
    19,877.26/29,816.92 = 5,086.30/x
  3. Step 3: Cross multiply
    19,877.26x = 29,816.92 × 5,086.30
  4. Step 4: Simplify right side
    19,877.26x = 151,657,712.94
  5. Step 5: Solve for x
    x = 151,657,712.94/19,877.26
  6. Step 6: Final answer
    x = 7,629.71

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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.