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Finding the Fourth Proportional to 20,403.40, 30,602.67 and 5,613.82

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Solution

The fourth proportional to 20,403.40, 30,602.67 and 5,613.82 is: 8,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,403.40 : 30,602.67 = 5,613.82 : x
  2. Step 2: Convert to fraction form
    20,403.40/30,602.67 = 5,613.82/x
  3. Step 3: Cross multiply
    20,403.40x = 30,602.67 × 5,613.82
  4. Step 4: Simplify right side
    20,403.40x = 171,797,880.90
  5. Step 5: Solve for x
    x = 171,797,880.90/20,403.40
  6. Step 6: Final answer
    x = 8,420.06

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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.