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Finding the Fourth Proportional to 16,825.94, 23,051.65 and 16,195.36

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Solution

The fourth proportional to 16,825.94, 23,051.65 and 16,195.36 is: 22,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825.94 : 23,051.65 = 16,195.36 : x
  2. Step 2: Convert to fraction form
    16,825.94/23,051.65 = 16,195.36/x
  3. Step 3: Cross multiply
    16,825.94x = 23,051.65 × 16,195.36
  4. Step 4: Simplify right side
    16,825.94x = 373,329,770.34
  5. Step 5: Solve for x
    x = 373,329,770.34/16,825.94
  6. Step 6: Final answer
    x = 22,187.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.