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Finding the Fourth Proportional to 19,804.41, 29,711.22 and 8,711.97

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Solution

The fourth proportional to 19,804.41, 29,711.22 and 8,711.97 is: 13,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.41 : 29,711.22 = 8,711.97 : x
  2. Step 2: Convert to fraction form
    19,804.41/29,711.22 = 8,711.97/x
  3. Step 3: Cross multiply
    19,804.41x = 29,711.22 × 8,711.97
  4. Step 4: Simplify right side
    19,804.41x = 258,843,257.30
  5. Step 5: Solve for x
    x = 258,843,257.30/19,804.41
  6. Step 6: Final answer
    x = 13,069.98

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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.