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Finding the Fourth Proportional to 20,684.25, 31,030.70 and 8,372.25

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Solution

The fourth proportional to 20,684.25, 31,030.70 and 8,372.25 is: 12,560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.25 : 31,030.70 = 8,372.25 : x
  2. Step 2: Convert to fraction form
    20,684.25/31,030.70 = 8,372.25/x
  3. Step 3: Cross multiply
    20,684.25x = 31,030.70 × 8,372.25
  4. Step 4: Simplify right side
    20,684.25x = 259,796,736.21
  5. Step 5: Solve for x
    x = 259,796,736.21/20,684.25
  6. Step 6: Final answer
    x = 12,560.12

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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.