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Finding the Fourth Proportional to 13,026.84, 17,982.72 and 8,317.32

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Solution

The fourth proportional to 13,026.84, 17,982.72 and 8,317.32 is: 11,481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.84 : 17,982.72 = 8,317.32 : x
  2. Step 2: Convert to fraction form
    13,026.84/17,982.72 = 8,317.32/x
  3. Step 3: Cross multiply
    13,026.84x = 17,982.72 × 8,317.32
  4. Step 4: Simplify right side
    13,026.84x = 149,568,036.71
  5. Step 5: Solve for x
    x = 149,568,036.71/13,026.84
  6. Step 6: Final answer
    x = 11,481.53

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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.