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Finding the Fourth Proportional to 12,696.86, 17,521.95 and 8,228.39

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Solution

The fourth proportional to 12,696.86, 17,521.95 and 8,228.39 is: 11,355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.86 : 17,521.95 = 8,228.39 : x
  2. Step 2: Convert to fraction form
    12,696.86/17,521.95 = 8,228.39/x
  3. Step 3: Cross multiply
    12,696.86x = 17,521.95 × 8,228.39
  4. Step 4: Simplify right side
    12,696.86x = 144,177,438.16
  5. Step 5: Solve for x
    x = 144,177,438.16/12,696.86
  6. Step 6: Final answer
    x = 11,355.36

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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.