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Finding the Fourth Proportional to 11,967.32, 17,950.73 and 3,202.24

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Solution

The fourth proportional to 11,967.32, 17,950.73 and 3,202.24 is: 4,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.32 : 17,950.73 = 3,202.24 : x
  2. Step 2: Convert to fraction form
    11,967.32/17,950.73 = 3,202.24/x
  3. Step 3: Cross multiply
    11,967.32x = 17,950.73 × 3,202.24
  4. Step 4: Simplify right side
    11,967.32x = 57,482,439.87
  5. Step 5: Solve for x
    x = 57,482,439.87/11,967.32
  6. Step 6: Final answer
    x = 4,803.28

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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.