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Finding the Fourth Proportional to 27,544, 38,010.44 and 14,968.80

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Solution

The fourth proportional to 27,544, 38,010.44 and 14,968.80 is: 20,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,544 : 38,010.44 = 14,968.80 : x
  2. Step 2: Convert to fraction form
    27,544/38,010.44 = 14,968.80/x
  3. Step 3: Cross multiply
    27,544x = 38,010.44 × 14,968.80
  4. Step 4: Simplify right side
    27,544x = 568,970,674.27
  5. Step 5: Solve for x
    x = 568,970,674.27/27,544
  6. Step 6: Final answer
    x = 20,656.79

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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.