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Finding the Fourth Proportional to 22,977, 34,465.23 and 11,905.38

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Solution

The fourth proportional to 22,977, 34,465.23 and 11,905.38 is: 17,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977 : 34,465.23 = 11,905.38 : x
  2. Step 2: Convert to fraction form
    22,977/34,465.23 = 11,905.38/x
  3. Step 3: Cross multiply
    22,977x = 34,465.23 × 11,905.38
  4. Step 4: Simplify right side
    22,977x = 410,321,659.94
  5. Step 5: Solve for x
    x = 410,321,659.94/22,977
  6. Step 6: Final answer
    x = 17,857.93

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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.