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Finding the Fourth Proportional to 14,106.96, 19,467.36 and 7,819.38

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Solution

The fourth proportional to 14,106.96, 19,467.36 and 7,819.38 is: 10,790.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.96 : 19,467.36 = 7,819.38 : x
  2. Step 2: Convert to fraction form
    14,106.96/19,467.36 = 7,819.38/x
  3. Step 3: Cross multiply
    14,106.96x = 19,467.36 × 7,819.38
  4. Step 4: Simplify right side
    14,106.96x = 152,222,685.44
  5. Step 5: Solve for x
    x = 152,222,685.44/14,106.96
  6. Step 6: Final answer
    x = 10,790.61

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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.