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Finding the Fourth Proportional to 12,405.48, 17,119.94 and 7,027.85

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Solution

The fourth proportional to 12,405.48, 17,119.94 and 7,027.85 is: 9,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.48 : 17,119.94 = 7,027.85 : x
  2. Step 2: Convert to fraction form
    12,405.48/17,119.94 = 7,027.85/x
  3. Step 3: Cross multiply
    12,405.48x = 17,119.94 × 7,027.85
  4. Step 4: Simplify right side
    12,405.48x = 120,316,249.59
  5. Step 5: Solve for x
    x = 120,316,249.59/12,405.48
  6. Step 6: Final answer
    x = 9,698.64

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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.