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Finding the Fourth Proportional to 12,723.23, 17,557.19 and 7,057.76

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Solution

The fourth proportional to 12,723.23, 17,557.19 and 7,057.76 is: 9,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.23 : 17,557.19 = 7,057.76 : x
  2. Step 2: Convert to fraction form
    12,723.23/17,557.19 = 7,057.76/x
  3. Step 3: Cross multiply
    12,723.23x = 17,557.19 × 7,057.76
  4. Step 4: Simplify right side
    12,723.23x = 123,914,310.22
  5. Step 5: Solve for x
    x = 123,914,310.22/12,723.23
  6. Step 6: Final answer
    x = 9,739.22

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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.