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Finding the Fourth Proportional to 11,970.99, 17,956.89 and 3,205.85

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Solution

The fourth proportional to 11,970.99, 17,956.89 and 3,205.85 is: 4,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.99 : 17,956.89 = 3,205.85 : x
  2. Step 2: Convert to fraction form
    11,970.99/17,956.89 = 3,205.85/x
  3. Step 3: Cross multiply
    11,970.99x = 17,956.89 × 3,205.85
  4. Step 4: Simplify right side
    11,970.99x = 57,567,006.02
  5. Step 5: Solve for x
    x = 57,567,006.02/11,970.99
  6. Step 6: Final answer
    x = 4,808.88

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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.