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Finding the Fourth Proportional to 20,396.93, 30,596.14 and 5,607

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Solution

The fourth proportional to 20,396.93, 30,596.14 and 5,607 is: 8,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,396.93 : 30,596.14 = 5,607 : x
  2. Step 2: Convert to fraction form
    20,396.93/30,596.14 = 5,607/x
  3. Step 3: Cross multiply
    20,396.93x = 30,596.14 × 5,607
  4. Step 4: Simplify right side
    20,396.93x = 171,552,563.99
  5. Step 5: Solve for x
    x = 171,552,563.99/20,396.93
  6. Step 6: Final answer
    x = 8,410.71

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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.