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Finding the Fourth Proportional to 18,578.29, 27,843.13 and 16,102.93

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Solution

The fourth proportional to 18,578.29, 27,843.13 and 16,102.93 is: 24,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578.29 : 27,843.13 = 16,102.93 : x
  2. Step 2: Convert to fraction form
    18,578.29/27,843.13 = 16,102.93/x
  3. Step 3: Cross multiply
    18,578.29x = 27,843.13 × 16,102.93
  4. Step 4: Simplify right side
    18,578.29x = 448,355,973.37
  5. Step 5: Solve for x
    x = 448,355,973.37/18,578.29
  6. Step 6: Final answer
    x = 24,133.33

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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.