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Finding the Fourth Proportional to 20,192.92, 30,292.26 and 6,343

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Solution

The fourth proportional to 20,192.92, 30,292.26 and 6,343 is: 9,515.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192.92 : 30,292.26 = 6,343 : x
  2. Step 2: Convert to fraction form
    20,192.92/30,292.26 = 6,343/x
  3. Step 3: Cross multiply
    20,192.92x = 30,292.26 × 6,343
  4. Step 4: Simplify right side
    20,192.92x = 192,143,805.18
  5. Step 5: Solve for x
    x = 192,143,805.18/20,192.92
  6. Step 6: Final answer
    x = 9,515.40

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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.