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Finding the Fourth Proportional to 27,794.96, 38,358 and 15,219.68

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Solution

The fourth proportional to 27,794.96, 38,358 and 15,219.68 is: 21,003.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.96 : 38,358 = 15,219.68 : x
  2. Step 2: Convert to fraction form
    27,794.96/38,358 = 15,219.68/x
  3. Step 3: Cross multiply
    27,794.96x = 38,358 × 15,219.68
  4. Step 4: Simplify right side
    27,794.96x = 583,796,485.44
  5. Step 5: Solve for x
    x = 583,796,485.44/27,794.96
  6. Step 6: Final answer
    x = 21,003.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.