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Finding the Fourth Proportional to 15,794.19, 23,694.93 and 8,409.42

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Solution

The fourth proportional to 15,794.19, 23,694.93 and 8,409.42 is: 12,616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794.19 : 23,694.93 = 8,409.42 : x
  2. Step 2: Convert to fraction form
    15,794.19/23,694.93 = 8,409.42/x
  3. Step 3: Cross multiply
    15,794.19x = 23,694.93 × 8,409.42
  4. Step 4: Simplify right side
    15,794.19x = 199,260,618.24
  5. Step 5: Solve for x
    x = 199,260,618.24/15,794.19
  6. Step 6: Final answer
    x = 12,616.07

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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.