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Finding the Fourth Proportional to 14,576.06, 20,113.49 and 8,202.48

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Solution

The fourth proportional to 14,576.06, 20,113.49 and 8,202.48 is: 11,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.06 : 20,113.49 = 8,202.48 : x
  2. Step 2: Convert to fraction form
    14,576.06/20,113.49 = 8,202.48/x
  3. Step 3: Cross multiply
    14,576.06x = 20,113.49 × 8,202.48
  4. Step 4: Simplify right side
    14,576.06x = 164,980,458.44
  5. Step 5: Solve for x
    x = 164,980,458.44/14,576.06
  6. Step 6: Final answer
    x = 11,318.59

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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.