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Finding the Fourth Proportional to 20,510.28, 30,765.44 and 5,719.58

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Solution

The fourth proportional to 20,510.28, 30,765.44 and 5,719.58 is: 8,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,510.28 : 30,765.44 = 5,719.58 : x
  2. Step 2: Convert to fraction form
    20,510.28/30,765.44 = 5,719.58/x
  3. Step 3: Cross multiply
    20,510.28x = 30,765.44 × 5,719.58
  4. Step 4: Simplify right side
    20,510.28x = 175,965,371.16
  5. Step 5: Solve for x
    x = 175,965,371.16/20,510.28
  6. Step 6: Final answer
    x = 8,579.37

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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.