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Finding the Fourth Proportional to 30,655.64, 42,305.78 and 17,229.48

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Solution

The fourth proportional to 30,655.64, 42,305.78 and 17,229.48 is: 23,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,655.64 : 42,305.78 = 17,229.48 : x
  2. Step 2: Convert to fraction form
    30,655.64/42,305.78 = 17,229.48/x
  3. Step 3: Cross multiply
    30,655.64x = 42,305.78 × 17,229.48
  4. Step 4: Simplify right side
    30,655.64x = 728,906,590.39
  5. Step 5: Solve for x
    x = 728,906,590.39/30,655.64
  6. Step 6: Final answer
    x = 23,777.24

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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.