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Finding the Fourth Proportional to 16,830.96, 23,058.49 and 16,200.37

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Solution

The fourth proportional to 16,830.96, 23,058.49 and 16,200.37 is: 22,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830.96 : 23,058.49 = 16,200.37 : x
  2. Step 2: Convert to fraction form
    16,830.96/23,058.49 = 16,200.37/x
  3. Step 3: Cross multiply
    16,830.96x = 23,058.49 × 16,200.37
  4. Step 4: Simplify right side
    16,830.96x = 373,556,069.64
  5. Step 5: Solve for x
    x = 373,556,069.64/16,830.96
  6. Step 6: Final answer
    x = 22,194.58

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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.