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Finding the Fourth Proportional to 20,438.91, 30,659.40 and 5,647.50

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Solution

The fourth proportional to 20,438.91, 30,659.40 and 5,647.50 is: 8,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.91 : 30,659.40 = 5,647.50 : x
  2. Step 2: Convert to fraction form
    20,438.91/30,659.40 = 5,647.50/x
  3. Step 3: Cross multiply
    20,438.91x = 30,659.40 × 5,647.50
  4. Step 4: Simplify right side
    20,438.91x = 173,148,961.50
  5. Step 5: Solve for x
    x = 173,148,961.50/20,438.91
  6. Step 6: Final answer
    x = 8,471.54

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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.