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Finding the Fourth Proportional to 18,205.70, 27,265.35 and 11,207.30

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Solution

The fourth proportional to 18,205.70, 27,265.35 and 11,207.30 is: 16,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.70 : 27,265.35 = 11,207.30 : x
  2. Step 2: Convert to fraction form
    18,205.70/27,265.35 = 11,207.30/x
  3. Step 3: Cross multiply
    18,205.70x = 27,265.35 × 11,207.30
  4. Step 4: Simplify right side
    18,205.70x = 305,570,957.06
  5. Step 5: Solve for x
    x = 305,570,957.06/18,205.70
  6. Step 6: Final answer
    x = 16,784.36

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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.