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Finding the Fourth Proportional to 19,982.50, 29,968.58 and 5,939.22

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Solution

The fourth proportional to 19,982.50, 29,968.58 and 5,939.22 is: 8,907.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982.50 : 29,968.58 = 5,939.22 : x
  2. Step 2: Convert to fraction form
    19,982.50/29,968.58 = 5,939.22/x
  3. Step 3: Cross multiply
    19,982.50x = 29,968.58 × 5,939.22
  4. Step 4: Simplify right side
    19,982.50x = 177,989,989.71
  5. Step 5: Solve for x
    x = 177,989,989.71/19,982.50
  6. Step 6: Final answer
    x = 8,907.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.