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Finding the Fourth Proportional to 12,205.67, 18,305.45 and 4,707.73

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Solution

The fourth proportional to 12,205.67, 18,305.45 and 4,707.73 is: 7,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.67 : 18,305.45 = 4,707.73 : x
  2. Step 2: Convert to fraction form
    12,205.67/18,305.45 = 4,707.73/x
  3. Step 3: Cross multiply
    12,205.67x = 18,305.45 × 4,707.73
  4. Step 4: Simplify right side
    12,205.67x = 86,177,001.06
  5. Step 5: Solve for x
    x = 86,177,001.06/12,205.67
  6. Step 6: Final answer
    x = 7,060.41

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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.