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Finding the Fourth Proportional to 18,946.82, 26,147.23 and 10,449.31

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Solution

The fourth proportional to 18,946.82, 26,147.23 and 10,449.31 is: 14,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,946.82 : 26,147.23 = 10,449.31 : x
  2. Step 2: Convert to fraction form
    18,946.82/26,147.23 = 10,449.31/x
  3. Step 3: Cross multiply
    18,946.82x = 26,147.23 × 10,449.31
  4. Step 4: Simplify right side
    18,946.82x = 273,220,511.91
  5. Step 5: Solve for x
    x = 273,220,511.91/18,946.82
  6. Step 6: Final answer
    x = 14,420.39

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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.