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Finding the Fourth Proportional to 21,449.75, 32,173.34 and 12,740.09

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Solution

The fourth proportional to 21,449.75, 32,173.34 and 12,740.09 is: 19,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,449.75 : 32,173.34 = 12,740.09 : x
  2. Step 2: Convert to fraction form
    21,449.75/32,173.34 = 12,740.09/x
  3. Step 3: Cross multiply
    21,449.75x = 32,173.34 × 12,740.09
  4. Step 4: Simplify right side
    21,449.75x = 409,891,022.63
  5. Step 5: Solve for x
    x = 409,891,022.63/21,449.75
  6. Step 6: Final answer
    x = 19,109.37

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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.