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Finding the Fourth Proportional to 12,819.81, 17,682.69 and 11,138.32

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Solution

The fourth proportional to 12,819.81, 17,682.69 and 11,138.32 is: 15,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.81 : 17,682.69 = 11,138.32 : x
  2. Step 2: Convert to fraction form
    12,819.81/17,682.69 = 11,138.32/x
  3. Step 3: Cross multiply
    12,819.81x = 17,682.69 × 11,138.32
  4. Step 4: Simplify right side
    12,819.81x = 196,955,532.76
  5. Step 5: Solve for x
    x = 196,955,532.76/12,819.81
  6. Step 6: Final answer
    x = 15,363.38

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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.