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Finding the Fourth Proportional to 20,100, 27,738.80 and 11,603.44

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Solution

The fourth proportional to 20,100, 27,738.80 and 11,603.44 is: 16,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,100 : 27,738.80 = 11,603.44 : x
  2. Step 2: Convert to fraction form
    20,100/27,738.80 = 11,603.44/x
  3. Step 3: Cross multiply
    20,100x = 27,738.80 × 11,603.44
  4. Step 4: Simplify right side
    20,100x = 321,865,501.47
  5. Step 5: Solve for x
    x = 321,865,501.47/20,100
  6. Step 6: Final answer
    x = 16,013.21

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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.