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Finding the Fourth Proportional to 30,974.95, 46,464.19 and 8,786.58

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Solution

The fourth proportional to 30,974.95, 46,464.19 and 8,786.58 is: 13,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.95 : 46,464.19 = 8,786.58 : x
  2. Step 2: Convert to fraction form
    30,974.95/46,464.19 = 8,786.58/x
  3. Step 3: Cross multiply
    30,974.95x = 46,464.19 × 8,786.58
  4. Step 4: Simplify right side
    30,974.95x = 408,261,322.57
  5. Step 5: Solve for x
    x = 408,261,322.57/30,974.95
  6. Step 6: Final answer
    x = 13,180.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.