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Finding the Fourth Proportional to 20,122.49, 30,036.09 and 18,638.07

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Solution

The fourth proportional to 20,122.49, 30,036.09 and 18,638.07 is: 27,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.49 : 30,036.09 = 18,638.07 : x
  2. Step 2: Convert to fraction form
    20,122.49/30,036.09 = 18,638.07/x
  3. Step 3: Cross multiply
    20,122.49x = 30,036.09 × 18,638.07
  4. Step 4: Simplify right side
    20,122.49x = 559,814,747.95
  5. Step 5: Solve for x
    x = 559,814,747.95/20,122.49
  6. Step 6: Final answer
    x = 27,820.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.