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Finding the Fourth Proportional to 21,151.75, 31,728.14 and 7,111.96

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Solution

The fourth proportional to 21,151.75, 31,728.14 and 7,111.96 is: 10,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,151.75 : 31,728.14 = 7,111.96 : x
  2. Step 2: Convert to fraction form
    21,151.75/31,728.14 = 7,111.96/x
  3. Step 3: Cross multiply
    21,151.75x = 31,728.14 × 7,111.96
  4. Step 4: Simplify right side
    21,151.75x = 225,649,262.55
  5. Step 5: Solve for x
    x = 225,649,262.55/21,151.75
  6. Step 6: Final answer
    x = 10,668.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.