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Finding the Fourth Proportional to 19,843.98, 27,384.24 and 12,770.40

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Solution

The fourth proportional to 19,843.98, 27,384.24 and 12,770.40 is: 17,622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.98 : 27,384.24 = 12,770.40 : x
  2. Step 2: Convert to fraction form
    19,843.98/27,384.24 = 12,770.40/x
  3. Step 3: Cross multiply
    19,843.98x = 27,384.24 × 12,770.40
  4. Step 4: Simplify right side
    19,843.98x = 349,707,698.50
  5. Step 5: Solve for x
    x = 349,707,698.50/19,843.98
  6. Step 6: Final answer
    x = 17,622.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.