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Finding the Fourth Proportional to 13,489.24, 20,234.82 and 4,255

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Solution

The fourth proportional to 13,489.24, 20,234.82 and 4,255 is: 6,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.24 : 20,234.82 = 4,255 : x
  2. Step 2: Convert to fraction form
    13,489.24/20,234.82 = 4,255/x
  3. Step 3: Cross multiply
    13,489.24x = 20,234.82 × 4,255
  4. Step 4: Simplify right side
    13,489.24x = 86,099,159.10
  5. Step 5: Solve for x
    x = 86,099,159.10/13,489.24
  6. Step 6: Final answer
    x = 6,382.80

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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.