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Finding the Fourth Proportional to 19,886.26, 29,827.33 and 6,738.29

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Solution

The fourth proportional to 19,886.26, 29,827.33 and 6,738.29 is: 10,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,886.26 : 29,827.33 = 6,738.29 : x
  2. Step 2: Convert to fraction form
    19,886.26/29,827.33 = 6,738.29/x
  3. Step 3: Cross multiply
    19,886.26x = 29,827.33 × 6,738.29
  4. Step 4: Simplify right side
    19,886.26x = 200,985,050.33
  5. Step 5: Solve for x
    x = 200,985,050.33/19,886.26
  6. Step 6: Final answer
    x = 10,106.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.