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Finding the Fourth Proportional to 11,967.66, 17,950.23 and 3,203.46

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Solution

The fourth proportional to 11,967.66, 17,950.23 and 3,203.46 is: 4,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.66 : 17,950.23 = 3,203.46 : x
  2. Step 2: Convert to fraction form
    11,967.66/17,950.23 = 3,203.46/x
  3. Step 3: Cross multiply
    11,967.66x = 17,950.23 × 3,203.46
  4. Step 4: Simplify right side
    11,967.66x = 57,502,843.80
  5. Step 5: Solve for x
    x = 57,502,843.80/11,967.66
  6. Step 6: Final answer
    x = 4,804.85

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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.