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Finding the Fourth Proportional to 28,142.36, 38,828.08 and 16,205.39

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Solution

The fourth proportional to 28,142.36, 38,828.08 and 16,205.39 is: 22,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,142.36 : 38,828.08 = 16,205.39 : x
  2. Step 2: Convert to fraction form
    28,142.36/38,828.08 = 16,205.39/x
  3. Step 3: Cross multiply
    28,142.36x = 38,828.08 × 16,205.39
  4. Step 4: Simplify right side
    28,142.36x = 629,224,041.77
  5. Step 5: Solve for x
    x = 629,224,041.77/28,142.36
  6. Step 6: Final answer
    x = 22,358.61

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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.