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Finding the Fourth Proportional to 23,489.21, 32,415.24 and 12,734.16

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Solution

The fourth proportional to 23,489.21, 32,415.24 and 12,734.16 is: 17,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,489.21 : 32,415.24 = 12,734.16 : x
  2. Step 2: Convert to fraction form
    23,489.21/32,415.24 = 12,734.16/x
  3. Step 3: Cross multiply
    23,489.21x = 32,415.24 × 12,734.16
  4. Step 4: Simplify right side
    23,489.21x = 412,780,852.60
  5. Step 5: Solve for x
    x = 412,780,852.60/23,489.21
  6. Step 6: Final answer
    x = 17,573.22

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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.