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Finding the Fourth Proportional to 27,993.60, 38,631.52 and 15,418.24

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Solution

The fourth proportional to 27,993.60, 38,631.52 and 15,418.24 is: 21,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993.60 : 38,631.52 = 15,418.24 : x
  2. Step 2: Convert to fraction form
    27,993.60/38,631.52 = 15,418.24/x
  3. Step 3: Cross multiply
    27,993.60x = 38,631.52 × 15,418.24
  4. Step 4: Simplify right side
    27,993.60x = 595,630,046.92
  5. Step 5: Solve for x
    x = 595,630,046.92/27,993.60
  6. Step 6: Final answer
    x = 21,277.37

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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.