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Finding the Fourth Proportional to 21,350.19, 32,021.64 and 8,195.79

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Solution

The fourth proportional to 21,350.19, 32,021.64 and 8,195.79 is: 12,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,350.19 : 32,021.64 = 8,195.79 : x
  2. Step 2: Convert to fraction form
    21,350.19/32,021.64 = 8,195.79/x
  3. Step 3: Cross multiply
    21,350.19x = 32,021.64 × 8,195.79
  4. Step 4: Simplify right side
    21,350.19x = 262,442,636.90
  5. Step 5: Solve for x
    x = 262,442,636.90/21,350.19
  6. Step 6: Final answer
    x = 12,292.29

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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.