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Finding the Fourth Proportional to 26,183.83, 39,269.82 and 7,463.46

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Solution

The fourth proportional to 26,183.83, 39,269.82 and 7,463.46 is: 11,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,183.83 : 39,269.82 = 7,463.46 : x
  2. Step 2: Convert to fraction form
    26,183.83/39,269.82 = 7,463.46/x
  3. Step 3: Cross multiply
    26,183.83x = 39,269.82 × 7,463.46
  4. Step 4: Simplify right side
    26,183.83x = 293,088,730.78
  5. Step 5: Solve for x
    x = 293,088,730.78/26,183.83
  6. Step 6: Final answer
    x = 11,193.50

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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.