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Finding the Fourth Proportional to 19,958.22, 29,933.47 and 6,629.14

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Solution

The fourth proportional to 19,958.22, 29,933.47 and 6,629.14 is: 9,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,958.22 : 29,933.47 = 6,629.14 : x
  2. Step 2: Convert to fraction form
    19,958.22/29,933.47 = 6,629.14/x
  3. Step 3: Cross multiply
    19,958.22x = 29,933.47 × 6,629.14
  4. Step 4: Simplify right side
    19,958.22x = 198,432,980.50
  5. Step 5: Solve for x
    x = 198,432,980.50/19,958.22
  6. Step 6: Final answer
    x = 9,942.42

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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.