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Finding the Fourth Proportional to 11,746.63, 17,615.61 and 8,234.85

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Solution

The fourth proportional to 11,746.63, 17,615.61 and 8,234.85 is: 12,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.63 : 17,615.61 = 8,234.85 : x
  2. Step 2: Convert to fraction form
    11,746.63/17,615.61 = 8,234.85/x
  3. Step 3: Cross multiply
    11,746.63x = 17,615.61 × 8,234.85
  4. Step 4: Simplify right side
    11,746.63x = 145,061,906.01
  5. Step 5: Solve for x
    x = 145,061,906.01/11,746.63
  6. Step 6: Final answer
    x = 12,349.24

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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.