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Finding the Fourth Proportional to 17,882.56, 26,819.76 and 6,790.48

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Solution

The fourth proportional to 17,882.56, 26,819.76 and 6,790.48 is: 10,184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.56 : 26,819.76 = 6,790.48 : x
  2. Step 2: Convert to fraction form
    17,882.56/26,819.76 = 6,790.48/x
  3. Step 3: Cross multiply
    17,882.56x = 26,819.76 × 6,790.48
  4. Step 4: Simplify right side
    17,882.56x = 182,119,043.88
  5. Step 5: Solve for x
    x = 182,119,043.88/17,882.56
  6. Step 6: Final answer
    x = 10,184.17

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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.