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Finding the Fourth Proportional to 12,782.43, 17,639.82 and 7,476.21

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Solution

The fourth proportional to 12,782.43, 17,639.82 and 7,476.21 is: 10,317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.43 : 17,639.82 = 7,476.21 : x
  2. Step 2: Convert to fraction form
    12,782.43/17,639.82 = 7,476.21/x
  3. Step 3: Cross multiply
    12,782.43x = 17,639.82 × 7,476.21
  4. Step 4: Simplify right side
    12,782.43x = 131,878,998.68
  5. Step 5: Solve for x
    x = 131,878,998.68/12,782.43
  6. Step 6: Final answer
    x = 10,317.21

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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.