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Finding the Fourth Proportional to 15,609.10, 23,415.69 and 8,213.92

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Solution

The fourth proportional to 15,609.10, 23,415.69 and 8,213.92 is: 12,321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,609.10 : 23,415.69 = 8,213.92 : x
  2. Step 2: Convert to fraction form
    15,609.10/23,415.69 = 8,213.92/x
  3. Step 3: Cross multiply
    15,609.10x = 23,415.69 × 8,213.92
  4. Step 4: Simplify right side
    15,609.10x = 192,334,604.40
  5. Step 5: Solve for x
    x = 192,334,604.40/15,609.10
  6. Step 6: Final answer
    x = 12,321.95

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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.