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Finding the Fourth Proportional to 12,456, 17,187.60 and 7,149.84

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Solution

The fourth proportional to 12,456, 17,187.60 and 7,149.84 is: 9,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456 : 17,187.60 = 7,149.84 : x
  2. Step 2: Convert to fraction form
    12,456/17,187.60 = 7,149.84/x
  3. Step 3: Cross multiply
    12,456x = 17,187.60 × 7,149.84
  4. Step 4: Simplify right side
    12,456x = 122,888,589.98
  5. Step 5: Solve for x
    x = 122,888,589.98/12,456
  6. Step 6: Final answer
    x = 9,865.81

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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.