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Finding the Fourth Proportional to 30,813.74, 46,221.77 and 8,626.55

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Solution

The fourth proportional to 30,813.74, 46,221.77 and 8,626.55 is: 12,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.74 : 46,221.77 = 8,626.55 : x
  2. Step 2: Convert to fraction form
    30,813.74/46,221.77 = 8,626.55/x
  3. Step 3: Cross multiply
    30,813.74x = 46,221.77 × 8,626.55
  4. Step 4: Simplify right side
    30,813.74x = 398,734,135.75
  5. Step 5: Solve for x
    x = 398,734,135.75/30,813.74
  6. Step 6: Final answer
    x = 12,940.14

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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.