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Finding the Fourth Proportional to 20,568.84, 30,856.65 and 8,082.18

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Solution

The fourth proportional to 20,568.84, 30,856.65 and 8,082.18 is: 12,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568.84 : 30,856.65 = 8,082.18 : x
  2. Step 2: Convert to fraction form
    20,568.84/30,856.65 = 8,082.18/x
  3. Step 3: Cross multiply
    20,568.84x = 30,856.65 × 8,082.18
  4. Step 4: Simplify right side
    20,568.84x = 249,388,969.19
  5. Step 5: Solve for x
    x = 249,388,969.19/20,568.84
  6. Step 6: Final answer
    x = 12,124.60

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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.