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Finding the Fourth Proportional to 25,523.29, 38,286.96 and 7,993

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Solution

The fourth proportional to 25,523.29, 38,286.96 and 7,993 is: 11,990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,523.29 : 38,286.96 = 7,993 : x
  2. Step 2: Convert to fraction form
    25,523.29/38,286.96 = 7,993/x
  3. Step 3: Cross multiply
    25,523.29x = 38,286.96 × 7,993
  4. Step 4: Simplify right side
    25,523.29x = 306,027,671.28
  5. Step 5: Solve for x
    x = 306,027,671.28/25,523.29
  6. Step 6: Final answer
    x = 11,990.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.