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Finding the Fourth Proportional to 19,767.82, 27,271.38 and 12,959.98

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Solution

The fourth proportional to 19,767.82, 27,271.38 and 12,959.98 is: 17,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767.82 : 27,271.38 = 12,959.98 : x
  2. Step 2: Convert to fraction form
    19,767.82/27,271.38 = 12,959.98/x
  3. Step 3: Cross multiply
    19,767.82x = 27,271.38 × 12,959.98
  4. Step 4: Simplify right side
    19,767.82x = 353,436,539.37
  5. Step 5: Solve for x
    x = 353,436,539.37/19,767.82
  6. Step 6: Final answer
    x = 17,879.39

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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.