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Finding the Fourth Proportional to 14,571.90, 20,109.11 and 8,284.28

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Solution

The fourth proportional to 14,571.90, 20,109.11 and 8,284.28 is: 11,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.90 : 20,109.11 = 8,284.28 : x
  2. Step 2: Convert to fraction form
    14,571.90/20,109.11 = 8,284.28/x
  3. Step 3: Cross multiply
    14,571.90x = 20,109.11 × 8,284.28
  4. Step 4: Simplify right side
    14,571.90x = 166,589,355.82
  5. Step 5: Solve for x
    x = 166,589,355.82/14,571.90
  6. Step 6: Final answer
    x = 11,432.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.