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Finding the Fourth Proportional to 14,884.92, 20,541.46 and 8,171.18

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Solution

The fourth proportional to 14,884.92, 20,541.46 and 8,171.18 is: 11,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.92 : 20,541.46 = 8,171.18 : x
  2. Step 2: Convert to fraction form
    14,884.92/20,541.46 = 8,171.18/x
  3. Step 3: Cross multiply
    14,884.92x = 20,541.46 × 8,171.18
  4. Step 4: Simplify right side
    14,884.92x = 167,847,967.12
  5. Step 5: Solve for x
    x = 167,847,967.12/14,884.92
  6. Step 6: Final answer
    x = 11,276.38

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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.