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Finding the Fourth Proportional to 14,515.06, 20,028.45 and 8,229.46

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Solution

The fourth proportional to 14,515.06, 20,028.45 and 8,229.46 is: 11,355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.06 : 20,028.45 = 8,229.46 : x
  2. Step 2: Convert to fraction form
    14,515.06/20,028.45 = 8,229.46/x
  3. Step 3: Cross multiply
    14,515.06x = 20,028.45 × 8,229.46
  4. Step 4: Simplify right side
    14,515.06x = 164,823,328.14
  5. Step 5: Solve for x
    x = 164,823,328.14/14,515.06
  6. Step 6: Final answer
    x = 11,355.33

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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.