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Finding the Fourth Proportional to 13,571.34, 20,349.69 and 4,207.32

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Solution

The fourth proportional to 13,571.34, 20,349.69 and 4,207.32 is: 6,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,571.34 : 20,349.69 = 4,207.32 : x
  2. Step 2: Convert to fraction form
    13,571.34/20,349.69 = 4,207.32/x
  3. Step 3: Cross multiply
    13,571.34x = 20,349.69 × 4,207.32
  4. Step 4: Simplify right side
    13,571.34x = 85,617,657.73
  5. Step 5: Solve for x
    x = 85,617,657.73/13,571.34
  6. Step 6: Final answer
    x = 6,308.71

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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.