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Finding the Fourth Proportional to 22,389.83, 30,896.84 and 13,435.55

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Solution

The fourth proportional to 22,389.83, 30,896.84 and 13,435.55 is: 18,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,389.83 : 30,896.84 = 13,435.55 : x
  2. Step 2: Convert to fraction form
    22,389.83/30,896.84 = 13,435.55/x
  3. Step 3: Cross multiply
    22,389.83x = 30,896.84 × 13,435.55
  4. Step 4: Simplify right side
    22,389.83x = 415,115,971.48
  5. Step 5: Solve for x
    x = 415,115,971.48/22,389.83
  6. Step 6: Final answer
    x = 18,540.38

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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.