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Finding the Fourth Proportional to 28,069.20, 38,682 and 20,097.54

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Solution

The fourth proportional to 28,069.20, 38,682 and 20,097.54 is: 27,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,069.20 : 38,682 = 20,097.54 : x
  2. Step 2: Convert to fraction form
    28,069.20/38,682 = 20,097.54/x
  3. Step 3: Cross multiply
    28,069.20x = 38,682 × 20,097.54
  4. Step 4: Simplify right side
    28,069.20x = 777,413,042.28
  5. Step 5: Solve for x
    x = 777,413,042.28/28,069.20
  6. Step 6: Final answer
    x = 27,696.30

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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.