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Finding the Fourth Proportional to 22,462.28, 30,997.79 and 12,391

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Solution

The fourth proportional to 22,462.28, 30,997.79 and 12,391 is: 17,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.28 : 30,997.79 = 12,391 : x
  2. Step 2: Convert to fraction form
    22,462.28/30,997.79 = 12,391/x
  3. Step 3: Cross multiply
    22,462.28x = 30,997.79 × 12,391
  4. Step 4: Simplify right side
    22,462.28x = 384,093,615.89
  5. Step 5: Solve for x
    x = 384,093,615.89/22,462.28
  6. Step 6: Final answer
    x = 17,099.49

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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.