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Finding the Fourth Proportional to 20,400.69, 30,602.52 and 8,542.56

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Solution

The fourth proportional to 20,400.69, 30,602.52 and 8,542.56 is: 12,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400.69 : 30,602.52 = 8,542.56 : x
  2. Step 2: Convert to fraction form
    20,400.69/30,602.52 = 8,542.56/x
  3. Step 3: Cross multiply
    20,400.69x = 30,602.52 × 8,542.56
  4. Step 4: Simplify right side
    20,400.69x = 261,423,863.25
  5. Step 5: Solve for x
    x = 261,423,863.25/20,400.69
  6. Step 6: Final answer
    x = 12,814.46

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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.