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Finding the Fourth Proportional to 20,544.94, 30,813.31 and 6,502.58

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Solution

The fourth proportional to 20,544.94, 30,813.31 and 6,502.58 is: 9,752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544.94 : 30,813.31 = 6,502.58 : x
  2. Step 2: Convert to fraction form
    20,544.94/30,813.31 = 6,502.58/x
  3. Step 3: Cross multiply
    20,544.94x = 30,813.31 × 6,502.58
  4. Step 4: Simplify right side
    20,544.94x = 200,365,982.95
  5. Step 5: Solve for x
    x = 200,365,982.95/20,544.94
  6. Step 6: Final answer
    x = 9,752.57

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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.