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Finding the Fourth Proportional to 30,648.96, 42,299.84 and 17,221.26

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Solution

The fourth proportional to 30,648.96, 42,299.84 and 17,221.26 is: 23,767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648.96 : 42,299.84 = 17,221.26 : x
  2. Step 2: Convert to fraction form
    30,648.96/42,299.84 = 17,221.26/x
  3. Step 3: Cross multiply
    30,648.96x = 42,299.84 × 17,221.26
  4. Step 4: Simplify right side
    30,648.96x = 728,456,542.60
  5. Step 5: Solve for x
    x = 728,456,542.60/30,648.96
  6. Step 6: Final answer
    x = 23,767.74

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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.