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Finding the Fourth Proportional to 19,972.86, 29,959.26 and 6,825.33

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Solution

The fourth proportional to 19,972.86, 29,959.26 and 6,825.33 is: 10,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,972.86 : 29,959.26 = 6,825.33 : x
  2. Step 2: Convert to fraction form
    19,972.86/29,959.26 = 6,825.33/x
  3. Step 3: Cross multiply
    19,972.86x = 29,959.26 × 6,825.33
  4. Step 4: Simplify right side
    19,972.86x = 204,481,836.06
  5. Step 5: Solve for x
    x = 204,481,836.06/19,972.86
  6. Step 6: Final answer
    x = 10,237.98

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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.