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Finding the Fourth Proportional to 20,262.72, 30,401.20 and 10,406.64

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Solution

The fourth proportional to 20,262.72, 30,401.20 and 10,406.64 is: 15,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262.72 : 30,401.20 = 10,406.64 : x
  2. Step 2: Convert to fraction form
    20,262.72/30,401.20 = 10,406.64/x
  3. Step 3: Cross multiply
    20,262.72x = 30,401.20 × 10,406.64
  4. Step 4: Simplify right side
    20,262.72x = 316,374,343.97
  5. Step 5: Solve for x
    x = 316,374,343.97/20,262.72
  6. Step 6: Final answer
    x = 15,613.62

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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.