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Finding the Fourth Proportional to 18,205.98, 27,319.58 and 7,675.35

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Solution

The fourth proportional to 18,205.98, 27,319.58 and 7,675.35 is: 11,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.98 : 27,319.58 = 7,675.35 : x
  2. Step 2: Convert to fraction form
    18,205.98/27,319.58 = 7,675.35/x
  3. Step 3: Cross multiply
    18,205.98x = 27,319.58 × 7,675.35
  4. Step 4: Simplify right side
    18,205.98x = 209,687,338.35
  5. Step 5: Solve for x
    x = 209,687,338.35/18,205.98
  6. Step 6: Final answer
    x = 11,517.50

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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.