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Finding the Fourth Proportional to 20,441.36, 30,658.98 and 6,398.12

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Solution

The fourth proportional to 20,441.36, 30,658.98 and 6,398.12 is: 9,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,441.36 : 30,658.98 = 6,398.12 : x
  2. Step 2: Convert to fraction form
    20,441.36/30,658.98 = 6,398.12/x
  3. Step 3: Cross multiply
    20,441.36x = 30,658.98 × 6,398.12
  4. Step 4: Simplify right side
    20,441.36x = 196,159,833.12
  5. Step 5: Solve for x
    x = 196,159,833.12/20,441.36
  6. Step 6: Final answer
    x = 9,596.22

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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.