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Finding the Fourth Proportional to 23,912.40, 32,999.40 and 13,157.84

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Solution

The fourth proportional to 23,912.40, 32,999.40 and 13,157.84 is: 18,157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,912.40 : 32,999.40 = 13,157.84 : x
  2. Step 2: Convert to fraction form
    23,912.40/32,999.40 = 13,157.84/x
  3. Step 3: Cross multiply
    23,912.40x = 32,999.40 × 13,157.84
  4. Step 4: Simplify right side
    23,912.40x = 434,200,825.30
  5. Step 5: Solve for x
    x = 434,200,825.30/23,912.40
  6. Step 6: Final answer
    x = 18,157.98

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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.