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Finding the Fourth Proportional to 15,093.39, 20,828.61 and 8,378.67

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Solution

The fourth proportional to 15,093.39, 20,828.61 and 8,378.67 is: 11,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,093.39 : 20,828.61 = 8,378.67 : x
  2. Step 2: Convert to fraction form
    15,093.39/20,828.61 = 8,378.67/x
  3. Step 3: Cross multiply
    15,093.39x = 20,828.61 × 8,378.67
  4. Step 4: Simplify right side
    15,093.39x = 174,516,049.75
  5. Step 5: Solve for x
    x = 174,516,049.75/15,093.39
  6. Step 6: Final answer
    x = 11,562.42

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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.