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Finding the Fourth Proportional to 23,816.30, 32,866.00 and 13,205.84

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Solution

The fourth proportional to 23,816.30, 32,866.00 and 13,205.84 is: 18,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.30 : 32,866.00 = 13,205.84 : x
  2. Step 2: Convert to fraction form
    23,816.30/32,866.00 = 13,205.84/x
  3. Step 3: Cross multiply
    23,816.30x = 32,866.00 × 13,205.84
  4. Step 4: Simplify right side
    23,816.30x = 434,022,940.10
  5. Step 5: Solve for x
    x = 434,022,940.10/23,816.30
  6. Step 6: Final answer
    x = 18,223.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.