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Finding the Fourth Proportional to 14,884.83, 20,541.32 and 8,171.09

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Solution

The fourth proportional to 14,884.83, 20,541.32 and 8,171.09 is: 11,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.83 : 20,541.32 = 8,171.09 : x
  2. Step 2: Convert to fraction form
    14,884.83/20,541.32 = 8,171.09/x
  3. Step 3: Cross multiply
    14,884.83x = 20,541.32 × 8,171.09
  4. Step 4: Simplify right side
    14,884.83x = 167,844,830.88
  5. Step 5: Solve for x
    x = 167,844,830.88/14,884.83
  6. Step 6: Final answer
    x = 11,276.23

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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.