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Finding the Fourth Proportional to 21,812.28, 32,717.12 and 7,771.56

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Solution

The fourth proportional to 21,812.28, 32,717.12 and 7,771.56 is: 11,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.28 : 32,717.12 = 7,771.56 : x
  2. Step 2: Convert to fraction form
    21,812.28/32,717.12 = 7,771.56/x
  3. Step 3: Cross multiply
    21,812.28x = 32,717.12 × 7,771.56
  4. Step 4: Simplify right side
    21,812.28x = 254,263,116.38
  5. Step 5: Solve for x
    x = 254,263,116.38/21,812.28
  6. Step 6: Final answer
    x = 11,656.88

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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.