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Finding the Fourth Proportional to 21,962.78, 30,305.36 and 13,344.47

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Solution

The fourth proportional to 21,962.78, 30,305.36 and 13,344.47 is: 18,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962.78 : 30,305.36 = 13,344.47 : x
  2. Step 2: Convert to fraction form
    21,962.78/30,305.36 = 13,344.47/x
  3. Step 3: Cross multiply
    21,962.78x = 30,305.36 × 13,344.47
  4. Step 4: Simplify right side
    21,962.78x = 404,408,849.19
  5. Step 5: Solve for x
    x = 404,408,849.19/21,962.78
  6. Step 6: Final answer
    x = 18,413.38

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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.