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Finding the Fourth Proportional to 12,891.50, 19,336.26 and 4,124.06

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Solution

The fourth proportional to 12,891.50, 19,336.26 and 4,124.06 is: 6,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.50 : 19,336.26 = 4,124.06 : x
  2. Step 2: Convert to fraction form
    12,891.50/19,336.26 = 4,124.06/x
  3. Step 3: Cross multiply
    12,891.50x = 19,336.26 × 4,124.06
  4. Step 4: Simplify right side
    12,891.50x = 79,743,896.42
  5. Step 5: Solve for x
    x = 79,743,896.42/12,891.50
  6. Step 6: Final answer
    x = 6,185.77

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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.