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Finding the Fourth Proportional to 20,540.24, 30,807.98 and 5,750.34

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Solution

The fourth proportional to 20,540.24, 30,807.98 and 5,750.34 is: 8,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.24 : 30,807.98 = 5,750.34 : x
  2. Step 2: Convert to fraction form
    20,540.24/30,807.98 = 5,750.34/x
  3. Step 3: Cross multiply
    20,540.24x = 30,807.98 × 5,750.34
  4. Step 4: Simplify right side
    20,540.24x = 177,156,359.71
  5. Step 5: Solve for x
    x = 177,156,359.71/20,540.24
  6. Step 6: Final answer
    x = 8,624.84

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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.