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Finding the Fourth Proportional to 23,995.48, 33,114 and 13,930

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Solution

The fourth proportional to 23,995.48, 33,114 and 13,930 is: 19,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,995.48 : 33,114 = 13,930 : x
  2. Step 2: Convert to fraction form
    23,995.48/33,114 = 13,930/x
  3. Step 3: Cross multiply
    23,995.48x = 33,114 × 13,930
  4. Step 4: Simplify right side
    23,995.48x = 461,278,020
  5. Step 5: Solve for x
    x = 461,278,020/23,995.48
  6. Step 6: Final answer
    x = 19,223.54

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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.