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Finding the Fourth Proportional to 21,147.84, 29,183.62 and 12,195.72

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Solution

The fourth proportional to 21,147.84, 29,183.62 and 12,195.72 is: 16,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.84 : 29,183.62 = 12,195.72 : x
  2. Step 2: Convert to fraction form
    21,147.84/29,183.62 = 12,195.72/x
  3. Step 3: Cross multiply
    21,147.84x = 29,183.62 × 12,195.72
  4. Step 4: Simplify right side
    21,147.84x = 355,915,258.11
  5. Step 5: Solve for x
    x = 355,915,258.11/21,147.84
  6. Step 6: Final answer
    x = 16,829.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.