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Finding the Fourth Proportional to 12,144.34, 16,762.33 and 7,906.01

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Solution

The fourth proportional to 12,144.34, 16,762.33 and 7,906.01 is: 10,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.34 : 16,762.33 = 7,906.01 : x
  2. Step 2: Convert to fraction form
    12,144.34/16,762.33 = 7,906.01/x
  3. Step 3: Cross multiply
    12,144.34x = 16,762.33 × 7,906.01
  4. Step 4: Simplify right side
    12,144.34x = 132,523,063.56
  5. Step 5: Solve for x
    x = 132,523,063.56/12,144.34
  6. Step 6: Final answer
    x = 10,912.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.