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Finding the Fourth Proportional to 16,433.28, 22,676.76 and 9,358.38

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Solution

The fourth proportional to 16,433.28, 22,676.76 and 9,358.38 is: 12,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.28 : 22,676.76 = 9,358.38 : x
  2. Step 2: Convert to fraction form
    16,433.28/22,676.76 = 9,358.38/x
  3. Step 3: Cross multiply
    16,433.28x = 22,676.76 × 9,358.38
  4. Step 4: Simplify right side
    16,433.28x = 212,217,737.25
  5. Step 5: Solve for x
    x = 212,217,737.25/16,433.28
  6. Step 6: Final answer
    x = 12,913.90

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Why These Related Problems?

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