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Finding the Fourth Proportional to 12,185.98, 18,281.73 and 3,866.50

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Solution

The fourth proportional to 12,185.98, 18,281.73 and 3,866.50 is: 5,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.98 : 18,281.73 = 3,866.50 : x
  2. Step 2: Convert to fraction form
    12,185.98/18,281.73 = 3,866.50/x
  3. Step 3: Cross multiply
    12,185.98x = 18,281.73 × 3,866.50
  4. Step 4: Simplify right side
    12,185.98x = 70,686,309.05
  5. Step 5: Solve for x
    x = 70,686,309.05/12,185.98
  6. Step 6: Final answer
    x = 5,800.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.