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Finding the Fourth Proportional to 12,834.07, 17,710.48 and 7,168.79

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Solution

The fourth proportional to 12,834.07, 17,710.48 and 7,168.79 is: 9,892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.07 : 17,710.48 = 7,168.79 : x
  2. Step 2: Convert to fraction form
    12,834.07/17,710.48 = 7,168.79/x
  3. Step 3: Cross multiply
    12,834.07x = 17,710.48 × 7,168.79
  4. Step 4: Simplify right side
    12,834.07x = 126,962,605.44
  5. Step 5: Solve for x
    x = 126,962,605.44/12,834.07
  6. Step 6: Final answer
    x = 9,892.63

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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.