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Finding the Fourth Proportional to 23,509.82, 35,239.83 and 11,019.32

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Solution

The fourth proportional to 23,509.82, 35,239.83 and 11,019.32 is: 16,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509.82 : 35,239.83 = 11,019.32 : x
  2. Step 2: Convert to fraction form
    23,509.82/35,239.83 = 11,019.32/x
  3. Step 3: Cross multiply
    23,509.82x = 35,239.83 × 11,019.32
  4. Step 4: Simplify right side
    23,509.82x = 388,318,963.52
  5. Step 5: Solve for x
    x = 388,318,963.52/23,509.82
  6. Step 6: Final answer
    x = 16,517.31

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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.