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Finding the Fourth Proportional to 19,314.12, 28,984.17 and 6,834.10

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Solution

The fourth proportional to 19,314.12, 28,984.17 and 6,834.10 is: 10,255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,314.12 : 28,984.17 = 6,834.10 : x
  2. Step 2: Convert to fraction form
    19,314.12/28,984.17 = 6,834.10/x
  3. Step 3: Cross multiply
    19,314.12x = 28,984.17 × 6,834.10
  4. Step 4: Simplify right side
    19,314.12x = 198,080,716.20
  5. Step 5: Solve for x
    x = 198,080,716.20/19,314.12
  6. Step 6: Final answer
    x = 10,255.75

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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.