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Finding the Fourth Proportional to 20,969.75, 28,938.46 and 11,538.52

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Solution

The fourth proportional to 20,969.75, 28,938.46 and 11,538.52 is: 15,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.75 : 28,938.46 = 11,538.52 : x
  2. Step 2: Convert to fraction form
    20,969.75/28,938.46 = 11,538.52/x
  3. Step 3: Cross multiply
    20,969.75x = 28,938.46 × 11,538.52
  4. Step 4: Simplify right side
    20,969.75x = 333,906,825.94
  5. Step 5: Solve for x
    x = 333,906,825.94/20,969.75
  6. Step 6: Final answer
    x = 15,923.26

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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.