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Finding the Fourth Proportional to 20,458.39, 30,684.17 and 5,668.80

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Solution

The fourth proportional to 20,458.39, 30,684.17 and 5,668.80 is: 8,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.39 : 30,684.17 = 5,668.80 : x
  2. Step 2: Convert to fraction form
    20,458.39/30,684.17 = 5,668.80/x
  3. Step 3: Cross multiply
    20,458.39x = 30,684.17 × 5,668.80
  4. Step 4: Simplify right side
    20,458.39x = 173,942,462.71
  5. Step 5: Solve for x
    x = 173,942,462.71/20,458.39
  6. Step 6: Final answer
    x = 8,502.26

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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.