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Finding the Fourth Proportional to 23,694.58, 35,533.67 and 13,180.58

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Solution

The fourth proportional to 23,694.58, 35,533.67 and 13,180.58 is: 19,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.58 : 35,533.67 = 13,180.58 : x
  2. Step 2: Convert to fraction form
    23,694.58/35,533.67 = 13,180.58/x
  3. Step 3: Cross multiply
    23,694.58x = 35,533.67 × 13,180.58
  4. Step 4: Simplify right side
    23,694.58x = 468,354,380.13
  5. Step 5: Solve for x
    x = 468,354,380.13/23,694.58
  6. Step 6: Final answer
    x = 19,766.31

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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.