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Finding the Fourth Proportional to 23,684.90, 32,687.40 and 13,619.24

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Solution

The fourth proportional to 23,684.90, 32,687.40 and 13,619.24 is: 18,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.90 : 32,687.40 = 13,619.24 : x
  2. Step 2: Convert to fraction form
    23,684.90/32,687.40 = 13,619.24/x
  3. Step 3: Cross multiply
    23,684.90x = 32,687.40 × 13,619.24
  4. Step 4: Simplify right side
    23,684.90x = 445,177,314.04
  5. Step 5: Solve for x
    x = 445,177,314.04/23,684.90
  6. Step 6: Final answer
    x = 18,795.83

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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.