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Finding the Fourth Proportional to 20,511.56, 30,767.58 and 5,719.57

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Solution

The fourth proportional to 20,511.56, 30,767.58 and 5,719.57 is: 8,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511.56 : 30,767.58 = 5,719.57 : x
  2. Step 2: Convert to fraction form
    20,511.56/30,767.58 = 5,719.57/x
  3. Step 3: Cross multiply
    20,511.56x = 30,767.58 × 5,719.57
  4. Step 4: Simplify right side
    20,511.56x = 175,977,423.69
  5. Step 5: Solve for x
    x = 175,977,423.69/20,511.56
  6. Step 6: Final answer
    x = 8,579.43

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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.