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Finding the Fourth Proportional to 27,993, 38,631.44 and 15,894.62

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Solution

The fourth proportional to 27,993, 38,631.44 and 15,894.62 is: 21,935.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993 : 38,631.44 = 15,894.62 : x
  2. Step 2: Convert to fraction form
    27,993/38,631.44 = 15,894.62/x
  3. Step 3: Cross multiply
    27,993x = 38,631.44 × 15,894.62
  4. Step 4: Simplify right side
    27,993x = 614,031,786.22
  5. Step 5: Solve for x
    x = 614,031,786.22/27,993
  6. Step 6: Final answer
    x = 21,935.19

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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.