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Finding the Fourth Proportional to 14,857.15, 20,503.02 and 8,142.62

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Solution

The fourth proportional to 14,857.15, 20,503.02 and 8,142.62 is: 11,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.15 : 20,503.02 = 8,142.62 : x
  2. Step 2: Convert to fraction form
    14,857.15/20,503.02 = 8,142.62/x
  3. Step 3: Cross multiply
    14,857.15x = 20,503.02 × 8,142.62
  4. Step 4: Simplify right side
    14,857.15x = 166,948,351.97
  5. Step 5: Solve for x
    x = 166,948,351.97/14,857.15
  6. Step 6: Final answer
    x = 11,236.90

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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.