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Finding the Fourth Proportional to 12,723.24, 17,557.18 and 7,058.22

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Solution

The fourth proportional to 12,723.24, 17,557.18 and 7,058.22 is: 9,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.24 : 17,557.18 = 7,058.22 : x
  2. Step 2: Convert to fraction form
    12,723.24/17,557.18 = 7,058.22/x
  3. Step 3: Cross multiply
    12,723.24x = 17,557.18 × 7,058.22
  4. Step 4: Simplify right side
    12,723.24x = 123,922,439.02
  5. Step 5: Solve for x
    x = 123,922,439.02/12,723.24
  6. Step 6: Final answer
    x = 9,739.85

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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.