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Finding the Fourth Proportional to 21,842, 32,734.68 and 12,467.60

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Solution

The fourth proportional to 21,842, 32,734.68 and 12,467.60 is: 18,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842 : 32,734.68 = 12,467.60 : x
  2. Step 2: Convert to fraction form
    21,842/32,734.68 = 12,467.60/x
  3. Step 3: Cross multiply
    21,842x = 32,734.68 × 12,467.60
  4. Step 4: Simplify right side
    21,842x = 408,122,896.37
  5. Step 5: Solve for x
    x = 408,122,896.37/21,842
  6. Step 6: Final answer
    x = 18,685.23

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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.