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Finding the Fourth Proportional to 12,821.26, 17,694.23 and 7,157.12

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Solution

The fourth proportional to 12,821.26, 17,694.23 and 7,157.12 is: 9,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.26 : 17,694.23 = 7,157.12 : x
  2. Step 2: Convert to fraction form
    12,821.26/17,694.23 = 7,157.12/x
  3. Step 3: Cross multiply
    12,821.26x = 17,694.23 × 7,157.12
  4. Step 4: Simplify right side
    12,821.26x = 126,639,669.51
  5. Step 5: Solve for x
    x = 126,639,669.51/12,821.26
  6. Step 6: Final answer
    x = 9,877.32

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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.