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Finding the Fourth Proportional to 24,198.65, 33,396.83 and 14,129.58

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Solution

The fourth proportional to 24,198.65, 33,396.83 and 14,129.58 is: 19,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.65 : 33,396.83 = 14,129.58 : x
  2. Step 2: Convert to fraction form
    24,198.65/33,396.83 = 14,129.58/x
  3. Step 3: Cross multiply
    24,198.65x = 33,396.83 × 14,129.58
  4. Step 4: Simplify right side
    24,198.65x = 471,883,181.23
  5. Step 5: Solve for x
    x = 471,883,181.23/24,198.65
  6. Step 6: Final answer
    x = 19,500.39

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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.