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Finding the Fourth Proportional to 12,145.22, 16,768.14 and 9,912.42

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Solution

The fourth proportional to 12,145.22, 16,768.14 and 9,912.42 is: 13,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.22 : 16,768.14 = 9,912.42 : x
  2. Step 2: Convert to fraction form
    12,145.22/16,768.14 = 9,912.42/x
  3. Step 3: Cross multiply
    12,145.22x = 16,768.14 × 9,912.42
  4. Step 4: Simplify right side
    12,145.22x = 166,212,733.86
  5. Step 5: Solve for x
    x = 166,212,733.86/12,145.22
  6. Step 6: Final answer
    x = 13,685.45

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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.