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Finding the Fourth Proportional to 27,816, 38,386.44 and 15,241.20

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Solution

The fourth proportional to 27,816, 38,386.44 and 15,241.20 is: 21,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,816 : 38,386.44 = 15,241.20 : x
  2. Step 2: Convert to fraction form
    27,816/38,386.44 = 15,241.20/x
  3. Step 3: Cross multiply
    27,816x = 38,386.44 × 15,241.20
  4. Step 4: Simplify right side
    27,816x = 585,055,409.33
  5. Step 5: Solve for x
    x = 585,055,409.33/27,816
  6. Step 6: Final answer
    x = 21,033.05

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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.