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Finding the Fourth Proportional to 16,163.28, 24,266.52 and 15,638.40

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Solution

The fourth proportional to 16,163.28, 24,266.52 and 15,638.40 is: 23,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163.28 : 24,266.52 = 15,638.40 : x
  2. Step 2: Convert to fraction form
    16,163.28/24,266.52 = 15,638.40/x
  3. Step 3: Cross multiply
    16,163.28x = 24,266.52 × 15,638.40
  4. Step 4: Simplify right side
    16,163.28x = 379,489,546.37
  5. Step 5: Solve for x
    x = 379,489,546.37/16,163.28
  6. Step 6: Final answer
    x = 23,478.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.