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Finding the Fourth Proportional to 24,811, 34,239.18 and 13,633

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Solution

The fourth proportional to 24,811, 34,239.18 and 13,633 is: 18,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,811 : 34,239.18 = 13,633 : x
  2. Step 2: Convert to fraction form
    24,811/34,239.18 = 13,633/x
  3. Step 3: Cross multiply
    24,811x = 34,239.18 × 13,633
  4. Step 4: Simplify right side
    24,811x = 466,782,740.94
  5. Step 5: Solve for x
    x = 466,782,740.94/24,811
  6. Step 6: Final answer
    x = 18,813.54

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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.