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Finding the Fourth Proportional to 12,140.01, 16,753.17 and 6,834.84

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Solution

The fourth proportional to 12,140.01, 16,753.17 and 6,834.84 is: 9,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.01 : 16,753.17 = 6,834.84 : x
  2. Step 2: Convert to fraction form
    12,140.01/16,753.17 = 6,834.84/x
  3. Step 3: Cross multiply
    12,140.01x = 16,753.17 × 6,834.84
  4. Step 4: Simplify right side
    12,140.01x = 114,505,236.44
  5. Step 5: Solve for x
    x = 114,505,236.44/12,140.01
  6. Step 6: Final answer
    x = 9,432.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.