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Finding the Fourth Proportional to 12,278.85, 18,420.05 and 4,485.84

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Solution

The fourth proportional to 12,278.85, 18,420.05 and 4,485.84 is: 6,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.85 : 18,420.05 = 4,485.84 : x
  2. Step 2: Convert to fraction form
    12,278.85/18,420.05 = 4,485.84/x
  3. Step 3: Cross multiply
    12,278.85x = 18,420.05 × 4,485.84
  4. Step 4: Simplify right side
    12,278.85x = 82,629,397.09
  5. Step 5: Solve for x
    x = 82,629,397.09/12,278.85
  6. Step 6: Final answer
    x = 6,729.41

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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.