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Finding the Fourth Proportional to 20,800.22, 28,696.14 and 12,828.56

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Solution

The fourth proportional to 20,800.22, 28,696.14 and 12,828.56 is: 17,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.22 : 28,696.14 = 12,828.56 : x
  2. Step 2: Convert to fraction form
    20,800.22/28,696.14 = 12,828.56/x
  3. Step 3: Cross multiply
    20,800.22x = 28,696.14 × 12,828.56
  4. Step 4: Simplify right side
    20,800.22x = 368,130,153.76
  5. Step 5: Solve for x
    x = 368,130,153.76/20,800.22
  6. Step 6: Final answer
    x = 17,698.38

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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.