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Finding the Fourth Proportional to 19,841.98, 27,381.50 and 12,768.38

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Solution

The fourth proportional to 19,841.98, 27,381.50 and 12,768.38 is: 17,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841.98 : 27,381.50 = 12,768.38 : x
  2. Step 2: Convert to fraction form
    19,841.98/27,381.50 = 12,768.38/x
  3. Step 3: Cross multiply
    19,841.98x = 27,381.50 × 12,768.38
  4. Step 4: Simplify right side
    19,841.98x = 349,617,396.97
  5. Step 5: Solve for x
    x = 349,617,396.97/19,841.98
  6. Step 6: Final answer
    x = 17,620.09

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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.