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Finding the Fourth Proportional to 16,320.70, 24,481.98 and 4,633

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Solution

The fourth proportional to 16,320.70, 24,481.98 and 4,633 is: 6,949.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,320.70 : 24,481.98 = 4,633 : x
  2. Step 2: Convert to fraction form
    16,320.70/24,481.98 = 4,633/x
  3. Step 3: Cross multiply
    16,320.70x = 24,481.98 × 4,633
  4. Step 4: Simplify right side
    16,320.70x = 113,425,013.34
  5. Step 5: Solve for x
    x = 113,425,013.34/16,320.70
  6. Step 6: Final answer
    x = 6,949.76

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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.