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Finding the Fourth Proportional to 27,955.92, 38,578.38 and 15,380.67

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Solution

The fourth proportional to 27,955.92, 38,578.38 and 15,380.67 is: 21,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,955.92 : 38,578.38 = 15,380.67 : x
  2. Step 2: Convert to fraction form
    27,955.92/38,578.38 = 15,380.67/x
  3. Step 3: Cross multiply
    27,955.92x = 38,578.38 × 15,380.67
  4. Step 4: Simplify right side
    27,955.92x = 593,361,331.91
  5. Step 5: Solve for x
    x = 593,361,331.91/27,955.92
  6. Step 6: Final answer
    x = 21,224.89

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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.