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Finding the Fourth Proportional to 20,403.79, 30,605.82 and 5,614.27

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Solution

The fourth proportional to 20,403.79, 30,605.82 and 5,614.27 is: 8,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,403.79 : 30,605.82 = 5,614.27 : x
  2. Step 2: Convert to fraction form
    20,403.79/30,605.82 = 5,614.27/x
  3. Step 3: Cross multiply
    20,403.79x = 30,605.82 × 5,614.27
  4. Step 4: Simplify right side
    20,403.79x = 171,829,337.05
  5. Step 5: Solve for x
    x = 171,829,337.05/20,403.79
  6. Step 6: Final answer
    x = 8,421.44

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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.