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Finding the Fourth Proportional to 20,670.90, 31,006.56 and 8,193.94

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Solution

The fourth proportional to 20,670.90, 31,006.56 and 8,193.94 is: 12,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,670.90 : 31,006.56 = 8,193.94 : x
  2. Step 2: Convert to fraction form
    20,670.90/31,006.56 = 8,193.94/x
  3. Step 3: Cross multiply
    20,670.90x = 31,006.56 × 8,193.94
  4. Step 4: Simplify right side
    20,670.90x = 254,065,892.25
  5. Step 5: Solve for x
    x = 254,065,892.25/20,670.90
  6. Step 6: Final answer
    x = 12,290.99

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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.