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Finding the Fourth Proportional to 20,576.97, 30,859.07 and 7,427.63

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Solution

The fourth proportional to 20,576.97, 30,859.07 and 7,427.63 is: 11,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.97 : 30,859.07 = 7,427.63 : x
  2. Step 2: Convert to fraction form
    20,576.97/30,859.07 = 7,427.63/x
  3. Step 3: Cross multiply
    20,576.97x = 30,859.07 × 7,427.63
  4. Step 4: Simplify right side
    20,576.97x = 229,209,754.10
  5. Step 5: Solve for x
    x = 229,209,754.10/20,576.97
  6. Step 6: Final answer
    x = 11,139.14

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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.