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Finding the Fourth Proportional to 24,136.38, 33,309.52 and 13,529.42

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Solution

The fourth proportional to 24,136.38, 33,309.52 and 13,529.42 is: 18,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,136.38 : 33,309.52 = 13,529.42 : x
  2. Step 2: Convert to fraction form
    24,136.38/33,309.52 = 13,529.42/x
  3. Step 3: Cross multiply
    24,136.38x = 33,309.52 × 13,529.42
  4. Step 4: Simplify right side
    24,136.38x = 450,658,486.08
  5. Step 5: Solve for x
    x = 450,658,486.08/24,136.38
  6. Step 6: Final answer
    x = 18,671.34

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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.