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Finding the Fourth Proportional to 27,927, 38,549.40 and 18,498.60

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Solution

The fourth proportional to 27,927, 38,549.40 and 18,498.60 is: 25,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,927 : 38,549.40 = 18,498.60 : x
  2. Step 2: Convert to fraction form
    27,927/38,549.40 = 18,498.60/x
  3. Step 3: Cross multiply
    27,927x = 38,549.40 × 18,498.60
  4. Step 4: Simplify right side
    27,927x = 713,109,930.84
  5. Step 5: Solve for x
    x = 713,109,930.84/27,927
  6. Step 6: Final answer
    x = 25,534.78

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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.