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Finding the Fourth Proportional to 30,194.90, 41,668.16 and 16,765.76

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Solution

The fourth proportional to 30,194.90, 41,668.16 and 16,765.76 is: 23,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.90 : 41,668.16 = 16,765.76 : x
  2. Step 2: Convert to fraction form
    30,194.90/41,668.16 = 16,765.76/x
  3. Step 3: Cross multiply
    30,194.90x = 41,668.16 × 16,765.76
  4. Step 4: Simplify right side
    30,194.90x = 698,598,370.20
  5. Step 5: Solve for x
    x = 698,598,370.20/30,194.90
  6. Step 6: Final answer
    x = 23,136.30

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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.