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Finding the Fourth Proportional to 19,877.57, 29,816.20 and 5,086.45

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Solution

The fourth proportional to 19,877.57, 29,816.20 and 5,086.45 is: 7,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.57 : 29,816.20 = 5,086.45 : x
  2. Step 2: Convert to fraction form
    19,877.57/29,816.20 = 5,086.45/x
  3. Step 3: Cross multiply
    19,877.57x = 29,816.20 × 5,086.45
  4. Step 4: Simplify right side
    19,877.57x = 151,658,610.49
  5. Step 5: Solve for x
    x = 151,658,610.49/19,877.57
  6. Step 6: Final answer
    x = 7,629.64

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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.