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Finding the Fourth Proportional to 20,462.26, 30,671.34 and 9,909.94

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Solution

The fourth proportional to 20,462.26, 30,671.34 and 9,909.94 is: 14,854.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.26 : 30,671.34 = 9,909.94 : x
  2. Step 2: Convert to fraction form
    20,462.26/30,671.34 = 9,909.94/x
  3. Step 3: Cross multiply
    20,462.26x = 30,671.34 × 9,909.94
  4. Step 4: Simplify right side
    20,462.26x = 303,951,139.12
  5. Step 5: Solve for x
    x = 303,951,139.12/20,462.26
  6. Step 6: Final answer
    x = 14,854.23

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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.