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Finding the Fourth Proportional to 16,609.98, 23,080.47 and 16,400.39

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Solution

The fourth proportional to 16,609.98, 23,080.47 and 16,400.39 is: 22,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,609.98 : 23,080.47 = 16,400.39 : x
  2. Step 2: Convert to fraction form
    16,609.98/23,080.47 = 16,400.39/x
  3. Step 3: Cross multiply
    16,609.98x = 23,080.47 × 16,400.39
  4. Step 4: Simplify right side
    16,609.98x = 378,528,709.38
  5. Step 5: Solve for x
    x = 378,528,709.38/16,609.98
  6. Step 6: Final answer
    x = 22,789.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.