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Finding the Fourth Proportional to 15,811.38, 21,819.42 and 8,738.28

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Solution

The fourth proportional to 15,811.38, 21,819.42 and 8,738.28 is: 12,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.38 : 21,819.42 = 8,738.28 : x
  2. Step 2: Convert to fraction form
    15,811.38/21,819.42 = 8,738.28/x
  3. Step 3: Cross multiply
    15,811.38x = 21,819.42 × 8,738.28
  4. Step 4: Simplify right side
    15,811.38x = 190,664,201.40
  5. Step 5: Solve for x
    x = 190,664,201.40/15,811.38
  6. Step 6: Final answer
    x = 12,058.67

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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.