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Finding the Fourth Proportional to 19,850.25, 29,775.38 and 8,906.25

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Solution

The fourth proportional to 19,850.25, 29,775.38 and 8,906.25 is: 13,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850.25 : 29,775.38 = 8,906.25 : x
  2. Step 2: Convert to fraction form
    19,850.25/29,775.38 = 8,906.25/x
  3. Step 3: Cross multiply
    19,850.25x = 29,775.38 × 8,906.25
  4. Step 4: Simplify right side
    19,850.25x = 265,186,933.59
  5. Step 5: Solve for x
    x = 265,186,933.59/19,850.25
  6. Step 6: Final answer
    x = 13,359.38

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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.