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Finding the Fourth Proportional to 12,227.42, 18,328.97 and 7,289.66

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Solution

The fourth proportional to 12,227.42, 18,328.97 and 7,289.66 is: 10,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.42 : 18,328.97 = 7,289.66 : x
  2. Step 2: Convert to fraction form
    12,227.42/18,328.97 = 7,289.66/x
  3. Step 3: Cross multiply
    12,227.42x = 18,328.97 × 7,289.66
  4. Step 4: Simplify right side
    12,227.42x = 133,611,886.03
  5. Step 5: Solve for x
    x = 133,611,886.03/12,227.42
  6. Step 6: Final answer
    x = 10,927.24

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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.