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Finding the Fourth Proportional to 18,016, 27,037.92 and 12,508

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Solution

The fourth proportional to 18,016, 27,037.92 and 12,508 is: 18,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,016 : 27,037.92 = 12,508 : x
  2. Step 2: Convert to fraction form
    18,016/27,037.92 = 12,508/x
  3. Step 3: Cross multiply
    18,016x = 27,037.92 × 12,508
  4. Step 4: Simplify right side
    18,016x = 338,190,303.36
  5. Step 5: Solve for x
    x = 338,190,303.36/18,016
  6. Step 6: Final answer
    x = 18,771.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.