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Finding the Fourth Proportional to 12,048.42, 18,069.84 and 3,281.58

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Solution

The fourth proportional to 12,048.42, 18,069.84 and 3,281.58 is: 4,921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.42 : 18,069.84 = 3,281.58 : x
  2. Step 2: Convert to fraction form
    12,048.42/18,069.84 = 3,281.58/x
  3. Step 3: Cross multiply
    12,048.42x = 18,069.84 × 3,281.58
  4. Step 4: Simplify right side
    12,048.42x = 59,297,625.55
  5. Step 5: Solve for x
    x = 59,297,625.55/12,048.42
  6. Step 6: Final answer
    x = 4,921.61

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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.