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Finding the Fourth Proportional to 20,492.68, 30,760.08 and 10,629.31

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Solution

The fourth proportional to 20,492.68, 30,760.08 and 10,629.31 is: 15,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.68 : 30,760.08 = 10,629.31 : x
  2. Step 2: Convert to fraction form
    20,492.68/30,760.08 = 10,629.31/x
  3. Step 3: Cross multiply
    20,492.68x = 30,760.08 × 10,629.31
  4. Step 4: Simplify right side
    20,492.68x = 326,958,425.94
  5. Step 5: Solve for x
    x = 326,958,425.94/20,492.68
  6. Step 6: Final answer
    x = 15,954.89

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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.