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Finding the Fourth Proportional to 12,331.96, 17,018.12 and 6,742.96

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Solution

The fourth proportional to 12,331.96, 17,018.12 and 6,742.96 is: 9,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.96 : 17,018.12 = 6,742.96 : x
  2. Step 2: Convert to fraction form
    12,331.96/17,018.12 = 6,742.96/x
  3. Step 3: Cross multiply
    12,331.96x = 17,018.12 × 6,742.96
  4. Step 4: Simplify right side
    12,331.96x = 114,752,502.44
  5. Step 5: Solve for x
    x = 114,752,502.44/12,331.96
  6. Step 6: Final answer
    x = 9,305.29

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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.