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Finding the Fourth Proportional to 20,508.56, 30,762.81 and 15,835.38

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Solution

The fourth proportional to 20,508.56, 30,762.81 and 15,835.38 is: 23,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.56 : 30,762.81 = 15,835.38 : x
  2. Step 2: Convert to fraction form
    20,508.56/30,762.81 = 15,835.38/x
  3. Step 3: Cross multiply
    20,508.56x = 30,762.81 × 15,835.38
  4. Step 4: Simplify right side
    20,508.56x = 487,140,786.22
  5. Step 5: Solve for x
    x = 487,140,786.22/20,508.56
  6. Step 6: Final answer
    x = 23,753.05

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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.