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Finding the Fourth Proportional to 20,576.96, 30,842.10 and 9,460.68

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Solution

The fourth proportional to 20,576.96, 30,842.10 and 9,460.68 is: 14,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.96 : 30,842.10 = 9,460.68 : x
  2. Step 2: Convert to fraction form
    20,576.96/30,842.10 = 9,460.68/x
  3. Step 3: Cross multiply
    20,576.96x = 30,842.10 × 9,460.68
  4. Step 4: Simplify right side
    20,576.96x = 291,787,238.63
  5. Step 5: Solve for x
    x = 291,787,238.63/20,576.96
  6. Step 6: Final answer
    x = 14,180.29

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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.