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Finding the Fourth Proportional to 19,609.50, 29,381.49 and 12,195.66

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Solution

The fourth proportional to 19,609.50, 29,381.49 and 12,195.66 is: 18,273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,609.50 : 29,381.49 = 12,195.66 : x
  2. Step 2: Convert to fraction form
    19,609.50/29,381.49 = 12,195.66/x
  3. Step 3: Cross multiply
    19,609.50x = 29,381.49 × 12,195.66
  4. Step 4: Simplify right side
    19,609.50x = 358,326,662.33
  5. Step 5: Solve for x
    x = 358,326,662.33/19,609.50
  6. Step 6: Final answer
    x = 18,273.12

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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.