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Finding the Fourth Proportional to 16,338.70, 24,508.98 and 4,651

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Solution

The fourth proportional to 16,338.70, 24,508.98 and 4,651 is: 6,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.70 : 24,508.98 = 4,651 : x
  2. Step 2: Convert to fraction form
    16,338.70/24,508.98 = 4,651/x
  3. Step 3: Cross multiply
    16,338.70x = 24,508.98 × 4,651
  4. Step 4: Simplify right side
    16,338.70x = 113,991,265.98
  5. Step 5: Solve for x
    x = 113,991,265.98/16,338.70
  6. Step 6: Final answer
    x = 6,976.76

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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.