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Finding the Fourth Proportional to 18,205.20, 27,332.10 and 14,511.60

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Solution

The fourth proportional to 18,205.20, 27,332.10 and 14,511.60 is: 21,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.20 : 27,332.10 = 14,511.60 : x
  2. Step 2: Convert to fraction form
    18,205.20/27,332.10 = 14,511.60/x
  3. Step 3: Cross multiply
    18,205.20x = 27,332.10 × 14,511.60
  4. Step 4: Simplify right side
    18,205.20x = 396,632,502.36
  5. Step 5: Solve for x
    x = 396,632,502.36/18,205.20
  6. Step 6: Final answer
    x = 21,786.77

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