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Finding the Fourth Proportional to 11,630.96, 17,453.84 and 4,234.70

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Solution

The fourth proportional to 11,630.96, 17,453.84 and 4,234.70 is: 6,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.96 : 17,453.84 = 4,234.70 : x
  2. Step 2: Convert to fraction form
    11,630.96/17,453.84 = 4,234.70/x
  3. Step 3: Cross multiply
    11,630.96x = 17,453.84 × 4,234.70
  4. Step 4: Simplify right side
    11,630.96x = 73,911,776.25
  5. Step 5: Solve for x
    x = 73,911,776.25/11,630.96
  6. Step 6: Final answer
    x = 6,354.74

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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.