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Finding the Fourth Proportional to 30,855.68, 46,292.16 and 12,400.64

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Solution

The fourth proportional to 30,855.68, 46,292.16 and 12,400.64 is: 18,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,855.68 : 46,292.16 = 12,400.64 : x
  2. Step 2: Convert to fraction form
    30,855.68/46,292.16 = 12,400.64/x
  3. Step 3: Cross multiply
    30,855.68x = 46,292.16 × 12,400.64
  4. Step 4: Simplify right side
    30,855.68x = 574,052,410.98
  5. Step 5: Solve for x
    x = 574,052,410.98/30,855.68
  6. Step 6: Final answer
    x = 18,604.43

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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.