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Finding the Fourth Proportional to 19,904.23, 27,454.22 and 16,361.29

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Solution

The fourth proportional to 19,904.23, 27,454.22 and 16,361.29 is: 22,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,904.23 : 27,454.22 = 16,361.29 : x
  2. Step 2: Convert to fraction form
    19,904.23/27,454.22 = 16,361.29/x
  3. Step 3: Cross multiply
    19,904.23x = 27,454.22 × 16,361.29
  4. Step 4: Simplify right side
    19,904.23x = 449,186,317.87
  5. Step 5: Solve for x
    x = 449,186,317.87/19,904.23
  6. Step 6: Final answer
    x = 22,567.39

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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.