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Finding the Fourth Proportional to 20,969.50, 28,938 and 11,538.22

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Solution

The fourth proportional to 20,969.50, 28,938 and 11,538.22 is: 15,922.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.50 : 28,938 = 11,538.22 : x
  2. Step 2: Convert to fraction form
    20,969.50/28,938 = 11,538.22/x
  3. Step 3: Cross multiply
    20,969.50x = 28,938 × 11,538.22
  4. Step 4: Simplify right side
    20,969.50x = 333,893,010.36
  5. Step 5: Solve for x
    x = 333,893,010.36/20,969.50
  6. Step 6: Final answer
    x = 15,922.79

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Why These Related Problems?

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