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Finding the Fourth Proportional to 12,696.92, 19,048.50 and 10,253.88

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Solution

The fourth proportional to 12,696.92, 19,048.50 and 10,253.88 is: 15,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.92 : 19,048.50 = 10,253.88 : x
  2. Step 2: Convert to fraction form
    12,696.92/19,048.50 = 10,253.88/x
  3. Step 3: Cross multiply
    12,696.92x = 19,048.50 × 10,253.88
  4. Step 4: Simplify right side
    12,696.92x = 195,321,033.18
  5. Step 5: Solve for x
    x = 195,321,033.18/12,696.92
  6. Step 6: Final answer
    x = 15,383.34

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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.