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Finding the Fourth Proportional to 20,438.05, 30,656.78 and 5,646.64

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Solution

The fourth proportional to 20,438.05, 30,656.78 and 5,646.64 is: 8,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.05 : 30,656.78 = 5,646.64 : x
  2. Step 2: Convert to fraction form
    20,438.05/30,656.78 = 5,646.64/x
  3. Step 3: Cross multiply
    20,438.05x = 30,656.78 × 5,646.64
  4. Step 4: Simplify right side
    20,438.05x = 173,107,800.22
  5. Step 5: Solve for x
    x = 173,107,800.22/20,438.05
  6. Step 6: Final answer
    x = 8,469.88

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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.