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Finding the Fourth Proportional to 30,658.77, 42,309.47 and 17,229.24

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Solution

The fourth proportional to 30,658.77, 42,309.47 and 17,229.24 is: 23,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.77 : 42,309.47 = 17,229.24 : x
  2. Step 2: Convert to fraction form
    30,658.77/42,309.47 = 17,229.24/x
  3. Step 3: Cross multiply
    30,658.77x = 42,309.47 × 17,229.24
  4. Step 4: Simplify right side
    30,658.77x = 728,960,055.98
  5. Step 5: Solve for x
    x = 728,960,055.98/30,658.77
  6. Step 6: Final answer
    x = 23,776.56

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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.