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Finding the Fourth Proportional to 14,916.43, 20,584.76 and 8,202.49

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Solution

The fourth proportional to 14,916.43, 20,584.76 and 8,202.49 is: 11,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.43 : 20,584.76 = 8,202.49 : x
  2. Step 2: Convert to fraction form
    14,916.43/20,584.76 = 8,202.49/x
  3. Step 3: Cross multiply
    14,916.43x = 20,584.76 × 8,202.49
  4. Step 4: Simplify right side
    14,916.43x = 168,846,195.58
  5. Step 5: Solve for x
    x = 168,846,195.58/14,916.43
  6. Step 6: Final answer
    x = 11,319.48

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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.