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Finding the Fourth Proportional to 16,168, 22,308.48 and 9,452.31

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Solution

The fourth proportional to 16,168, 22,308.48 and 9,452.31 is: 13,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,168 : 22,308.48 = 9,452.31 : x
  2. Step 2: Convert to fraction form
    16,168/22,308.48 = 9,452.31/x
  3. Step 3: Cross multiply
    16,168x = 22,308.48 × 9,452.31
  4. Step 4: Simplify right side
    16,168x = 210,866,668.59
  5. Step 5: Solve for x
    x = 210,866,668.59/16,168
  6. Step 6: Final answer
    x = 13,042.22

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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.