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Finding the Fourth Proportional to 30,774.82, 42,469.28 and 16,627.69

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Solution

The fourth proportional to 30,774.82, 42,469.28 and 16,627.69 is: 22,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.82 : 42,469.28 = 16,627.69 : x
  2. Step 2: Convert to fraction form
    30,774.82/42,469.28 = 16,627.69/x
  3. Step 3: Cross multiply
    30,774.82x = 42,469.28 × 16,627.69
  4. Step 4: Simplify right side
    30,774.82x = 706,166,022.36
  5. Step 5: Solve for x
    x = 706,166,022.36/30,774.82
  6. Step 6: Final answer
    x = 22,946.23

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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.