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Finding the Fourth Proportional to 14,916.54, 20,584.39 and 8,202.16

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Solution

The fourth proportional to 14,916.54, 20,584.39 and 8,202.16 is: 11,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.54 : 20,584.39 = 8,202.16 : x
  2. Step 2: Convert to fraction form
    14,916.54/20,584.39 = 8,202.16/x
  3. Step 3: Cross multiply
    14,916.54x = 20,584.39 × 8,202.16
  4. Step 4: Simplify right side
    14,916.54x = 168,836,460.28
  5. Step 5: Solve for x
    x = 168,836,460.28/14,916.54
  6. Step 6: Final answer
    x = 11,318.74

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Why These Related Problems?

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