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Finding the Fourth Proportional to 13,649.70, 20,473.57 and 5,328.16

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Solution

The fourth proportional to 13,649.70, 20,473.57 and 5,328.16 is: 7,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.70 : 20,473.57 = 5,328.16 : x
  2. Step 2: Convert to fraction form
    13,649.70/20,473.57 = 5,328.16/x
  3. Step 3: Cross multiply
    13,649.70x = 20,473.57 × 5,328.16
  4. Step 4: Simplify right side
    13,649.70x = 109,086,456.73
  5. Step 5: Solve for x
    x = 109,086,456.73/13,649.70
  6. Step 6: Final answer
    x = 7,991.86

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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.