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Finding the Fourth Proportional to 25,705.25, 35,458.46 and 15,092.83

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Solution

The fourth proportional to 25,705.25, 35,458.46 and 15,092.83 is: 20,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,705.25 : 35,458.46 = 15,092.83 : x
  2. Step 2: Convert to fraction form
    25,705.25/35,458.46 = 15,092.83/x
  3. Step 3: Cross multiply
    25,705.25x = 35,458.46 × 15,092.83
  4. Step 4: Simplify right side
    25,705.25x = 535,168,433.38
  5. Step 5: Solve for x
    x = 535,168,433.38/25,705.25
  6. Step 6: Final answer
    x = 20,819.42

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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.