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Finding the Fourth Proportional to 20,172.92, 30,262.26 and 6,323

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Solution

The fourth proportional to 20,172.92, 30,262.26 and 6,323 is: 9,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.92 : 30,262.26 = 6,323 : x
  2. Step 2: Convert to fraction form
    20,172.92/30,262.26 = 6,323/x
  3. Step 3: Cross multiply
    20,172.92x = 30,262.26 × 6,323
  4. Step 4: Simplify right side
    20,172.92x = 191,348,269.98
  5. Step 5: Solve for x
    x = 191,348,269.98/20,172.92
  6. Step 6: Final answer
    x = 9,485.40

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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.