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Finding the Fourth Proportional to 30,584, 42,206 and 17,845.94

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Solution

The fourth proportional to 30,584, 42,206 and 17,845.94 is: 24,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584 : 42,206 = 17,845.94 : x
  2. Step 2: Convert to fraction form
    30,584/42,206 = 17,845.94/x
  3. Step 3: Cross multiply
    30,584x = 42,206 × 17,845.94
  4. Step 4: Simplify right side
    30,584x = 753,205,743.64
  5. Step 5: Solve for x
    x = 753,205,743.64/30,584
  6. Step 6: Final answer
    x = 24,627.44

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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.