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Finding the Fourth Proportional to 22,996.38, 34,485.93 and 8,201.28

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Solution

The fourth proportional to 22,996.38, 34,485.93 and 8,201.28 is: 12,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.38 : 34,485.93 = 8,201.28 : x
  2. Step 2: Convert to fraction form
    22,996.38/34,485.93 = 8,201.28/x
  3. Step 3: Cross multiply
    22,996.38x = 34,485.93 × 8,201.28
  4. Step 4: Simplify right side
    22,996.38x = 282,828,767.99
  5. Step 5: Solve for x
    x = 282,828,767.99/22,996.38
  6. Step 6: Final answer
    x = 12,298.84

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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.