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Finding the Fourth Proportional to 12,426.82, 17,149.42 and 7,122.65

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Solution

The fourth proportional to 12,426.82, 17,149.42 and 7,122.65 is: 9,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.82 : 17,149.42 = 7,122.65 : x
  2. Step 2: Convert to fraction form
    12,426.82/17,149.42 = 7,122.65/x
  3. Step 3: Cross multiply
    12,426.82x = 17,149.42 × 7,122.65
  4. Step 4: Simplify right side
    12,426.82x = 122,149,316.36
  5. Step 5: Solve for x
    x = 122,149,316.36/12,426.82
  6. Step 6: Final answer
    x = 9,829.49

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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.