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Finding the Fourth Proportional to 30,213.38, 41,686.98 and 18,865.28

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Solution

The fourth proportional to 30,213.38, 41,686.98 and 18,865.28 is: 26,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213.38 : 41,686.98 = 18,865.28 : x
  2. Step 2: Convert to fraction form
    30,213.38/41,686.98 = 18,865.28/x
  3. Step 3: Cross multiply
    30,213.38x = 41,686.98 × 18,865.28
  4. Step 4: Simplify right side
    30,213.38x = 786,436,550.05
  5. Step 5: Solve for x
    x = 786,436,550.05/30,213.38
  6. Step 6: Final answer
    x = 26,029.41

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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.