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Finding the Fourth Proportional to 24,198, 33,399 and 14,774.52

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Solution

The fourth proportional to 24,198, 33,399 and 14,774.52 is: 20,392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198 : 33,399 = 14,774.52 : x
  2. Step 2: Convert to fraction form
    24,198/33,399 = 14,774.52/x
  3. Step 3: Cross multiply
    24,198x = 33,399 × 14,774.52
  4. Step 4: Simplify right side
    24,198x = 493,454,193.48
  5. Step 5: Solve for x
    x = 493,454,193.48/24,198
  6. Step 6: Final answer
    x = 20,392.35

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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.