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Finding the Fourth Proportional to 20,851.74, 31,283.45 and 8,380.53

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Solution

The fourth proportional to 20,851.74, 31,283.45 and 8,380.53 is: 12,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.74 : 31,283.45 = 8,380.53 : x
  2. Step 2: Convert to fraction form
    20,851.74/31,283.45 = 8,380.53/x
  3. Step 3: Cross multiply
    20,851.74x = 31,283.45 × 8,380.53
  4. Step 4: Simplify right side
    20,851.74x = 262,171,849.33
  5. Step 5: Solve for x
    x = 262,171,849.33/20,851.74
  6. Step 6: Final answer
    x = 12,573.14

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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.