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Finding the Fourth Proportional to 12,855.20, 17,739.43 and 7,112.32

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Solution

The fourth proportional to 12,855.20, 17,739.43 and 7,112.32 is: 9,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.20 : 17,739.43 = 7,112.32 : x
  2. Step 2: Convert to fraction form
    12,855.20/17,739.43 = 7,112.32/x
  3. Step 3: Cross multiply
    12,855.20x = 17,739.43 × 7,112.32
  4. Step 4: Simplify right side
    12,855.20x = 126,168,502.78
  5. Step 5: Solve for x
    x = 126,168,502.78/12,855.20
  6. Step 6: Final answer
    x = 9,814.59

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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.