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Finding the Fourth Proportional to 21,998.78, 32,998.80 and 7,960.10

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Solution

The fourth proportional to 21,998.78, 32,998.80 and 7,960.10 is: 11,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998.78 : 32,998.80 = 7,960.10 : x
  2. Step 2: Convert to fraction form
    21,998.78/32,998.80 = 7,960.10/x
  3. Step 3: Cross multiply
    21,998.78x = 32,998.80 × 7,960.10
  4. Step 4: Simplify right side
    21,998.78x = 262,673,747.88
  5. Step 5: Solve for x
    x = 262,673,747.88/21,998.78
  6. Step 6: Final answer
    x = 11,940.38

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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.