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Finding the Fourth Proportional to 30,900.96, 46,367.04 and 12,194.40

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Solution

The fourth proportional to 30,900.96, 46,367.04 and 12,194.40 is: 18,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900.96 : 46,367.04 = 12,194.40 : x
  2. Step 2: Convert to fraction form
    30,900.96/46,367.04 = 12,194.40/x
  3. Step 3: Cross multiply
    30,900.96x = 46,367.04 × 12,194.40
  4. Step 4: Simplify right side
    30,900.96x = 565,418,232.58
  5. Step 5: Solve for x
    x = 565,418,232.58/30,900.96
  6. Step 6: Final answer
    x = 18,297.76

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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.