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Finding the Fourth Proportional to 20,045.72, 30,086.86 and 10,693.64

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Solution

The fourth proportional to 20,045.72, 30,086.86 and 10,693.64 is: 16,050.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.72 : 30,086.86 = 10,693.64 : x
  2. Step 2: Convert to fraction form
    20,045.72/30,086.86 = 10,693.64/x
  3. Step 3: Cross multiply
    20,045.72x = 30,086.86 × 10,693.64
  4. Step 4: Simplify right side
    20,045.72x = 321,738,049.57
  5. Step 5: Solve for x
    x = 321,738,049.57/20,045.72
  6. Step 6: Final answer
    x = 16,050.21

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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.