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Finding the Fourth Proportional to 19,821.94, 27,355.50 and 11,438.44

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Solution

The fourth proportional to 19,821.94, 27,355.50 and 11,438.44 is: 15,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821.94 : 27,355.50 = 11,438.44 : x
  2. Step 2: Convert to fraction form
    19,821.94/27,355.50 = 11,438.44/x
  3. Step 3: Cross multiply
    19,821.94x = 27,355.50 × 11,438.44
  4. Step 4: Simplify right side
    19,821.94x = 312,904,177.03
  5. Step 5: Solve for x
    x = 312,904,177.03/19,821.94
  6. Step 6: Final answer
    x = 15,785.75

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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.