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Finding the Fourth Proportional to 14,857.48, 20,504.04 and 8,143.39

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Solution

The fourth proportional to 14,857.48, 20,504.04 and 8,143.39 is: 11,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.48 : 20,504.04 = 8,143.39 : x
  2. Step 2: Convert to fraction form
    14,857.48/20,504.04 = 8,143.39/x
  3. Step 3: Cross multiply
    14,857.48x = 20,504.04 × 8,143.39
  4. Step 4: Simplify right side
    14,857.48x = 166,972,274.05
  5. Step 5: Solve for x
    x = 166,972,274.05/14,857.48
  6. Step 6: Final answer
    x = 11,238.27

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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.