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Finding the Fourth Proportional to 22,879.49, 31,478.41 and 20,178.95

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Solution

The fourth proportional to 22,879.49, 31,478.41 and 20,178.95 is: 27,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,879.49 : 31,478.41 = 20,178.95 : x
  2. Step 2: Convert to fraction form
    22,879.49/31,478.41 = 20,178.95/x
  3. Step 3: Cross multiply
    22,879.49x = 31,478.41 × 20,178.95
  4. Step 4: Simplify right side
    22,879.49x = 635,201,289.72
  5. Step 5: Solve for x
    x = 635,201,289.72/22,879.49
  6. Step 6: Final answer
    x = 27,762.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.