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Finding the Fourth Proportional to 25,815.36, 35,620.80 and 15,205.44

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Solution

The fourth proportional to 25,815.36, 35,620.80 and 15,205.44 is: 20,980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,815.36 : 35,620.80 = 15,205.44 : x
  2. Step 2: Convert to fraction form
    25,815.36/35,620.80 = 15,205.44/x
  3. Step 3: Cross multiply
    25,815.36x = 35,620.80 × 15,205.44
  4. Step 4: Simplify right side
    25,815.36x = 541,629,937.15
  5. Step 5: Solve for x
    x = 541,629,937.15/25,815.36
  6. Step 6: Final answer
    x = 20,980.92

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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.