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Finding the Fourth Proportional to 19,609, 29,380.74 and 12,195.16

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Solution

The fourth proportional to 19,609, 29,380.74 and 12,195.16 is: 18,272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,609 : 29,380.74 = 12,195.16 : x
  2. Step 2: Convert to fraction form
    19,609/29,380.74 = 12,195.16/x
  3. Step 3: Cross multiply
    19,609x = 29,380.74 × 12,195.16
  4. Step 4: Simplify right side
    19,609x = 358,302,825.22
  5. Step 5: Solve for x
    x = 358,302,825.22/19,609
  6. Step 6: Final answer
    x = 18,272.37

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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.