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Finding the Fourth Proportional to 13,696, 20,514.84 and 12,929.20

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Solution

The fourth proportional to 13,696, 20,514.84 and 12,929.20 is: 19,366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696 : 20,514.84 = 12,929.20 : x
  2. Step 2: Convert to fraction form
    13,696/20,514.84 = 12,929.20/x
  3. Step 3: Cross multiply
    13,696x = 20,514.84 × 12,929.20
  4. Step 4: Simplify right side
    13,696x = 265,240,469.33
  5. Step 5: Solve for x
    x = 265,240,469.33/13,696
  6. Step 6: Final answer
    x = 19,366.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.