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Finding the Fourth Proportional to 27,662.36, 38,189.80 and 18,258.26

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Solution

The fourth proportional to 27,662.36, 38,189.80 and 18,258.26 is: 25,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662.36 : 38,189.80 = 18,258.26 : x
  2. Step 2: Convert to fraction form
    27,662.36/38,189.80 = 18,258.26/x
  3. Step 3: Cross multiply
    27,662.36x = 38,189.80 × 18,258.26
  4. Step 4: Simplify right side
    27,662.36x = 697,279,395.79
  5. Step 5: Solve for x
    x = 697,279,395.79/27,662.36
  6. Step 6: Final answer
    x = 25,206.79

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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.