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Finding the Fourth Proportional to 12,705.92, 17,528.28 and 8,231.18

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Solution

The fourth proportional to 12,705.92, 17,528.28 and 8,231.18 is: 11,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.92 : 17,528.28 = 8,231.18 : x
  2. Step 2: Convert to fraction form
    12,705.92/17,528.28 = 8,231.18/x
  3. Step 3: Cross multiply
    12,705.92x = 17,528.28 × 8,231.18
  4. Step 4: Simplify right side
    12,705.92x = 144,278,427.77
  5. Step 5: Solve for x
    x = 144,278,427.77/12,705.92
  6. Step 6: Final answer
    x = 11,355.21

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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.