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Finding the Fourth Proportional to 23,204.30, 34,806.30 and 8,409.78

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Solution

The fourth proportional to 23,204.30, 34,806.30 and 8,409.78 is: 12,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204.30 : 34,806.30 = 8,409.78 : x
  2. Step 2: Convert to fraction form
    23,204.30/34,806.30 = 8,409.78/x
  3. Step 3: Cross multiply
    23,204.30x = 34,806.30 × 8,409.78
  4. Step 4: Simplify right side
    23,204.30x = 292,713,325.61
  5. Step 5: Solve for x
    x = 292,713,325.61/23,204.30
  6. Step 6: Final answer
    x = 12,614.62

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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.