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Finding the Fourth Proportional to 20,094.36, 30,135.38 and 13,894.21

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Solution

The fourth proportional to 20,094.36, 30,135.38 and 13,894.21 is: 20,837.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.36 : 30,135.38 = 13,894.21 : x
  2. Step 2: Convert to fraction form
    20,094.36/30,135.38 = 13,894.21/x
  3. Step 3: Cross multiply
    20,094.36x = 30,135.38 × 13,894.21
  4. Step 4: Simplify right side
    20,094.36x = 418,707,344.50
  5. Step 5: Solve for x
    x = 418,707,344.50/20,094.36
  6. Step 6: Final answer
    x = 20,837.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.