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Finding the Fourth Proportional to 30,794.25, 42,496.18 and 17,182.86

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Solution

The fourth proportional to 30,794.25, 42,496.18 and 17,182.86 is: 23,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.25 : 42,496.18 = 17,182.86 : x
  2. Step 2: Convert to fraction form
    30,794.25/42,496.18 = 17,182.86/x
  3. Step 3: Cross multiply
    30,794.25x = 42,496.18 × 17,182.86
  4. Step 4: Simplify right side
    30,794.25x = 730,206,070.84
  5. Step 5: Solve for x
    x = 730,206,070.84/30,794.25
  6. Step 6: Final answer
    x = 23,712.42

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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.