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Finding the Fourth Proportional to 12,141.68, 18,215.70 and 3,821.50

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Solution

The fourth proportional to 12,141.68, 18,215.70 and 3,821.50 is: 5,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.68 : 18,215.70 = 3,821.50 : x
  2. Step 2: Convert to fraction form
    12,141.68/18,215.70 = 3,821.50/x
  3. Step 3: Cross multiply
    12,141.68x = 18,215.70 × 3,821.50
  4. Step 4: Simplify right side
    12,141.68x = 69,611,297.55
  5. Step 5: Solve for x
    x = 69,611,297.55/12,141.68
  6. Step 6: Final answer
    x = 5,733.25

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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.