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Finding the Fourth Proportional to 20,584, 30,854.78 and 8,098.96

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Solution

The fourth proportional to 20,584, 30,854.78 and 8,098.96 is: 12,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584 : 30,854.78 = 8,098.96 : x
  2. Step 2: Convert to fraction form
    20,584/30,854.78 = 8,098.96/x
  3. Step 3: Cross multiply
    20,584x = 30,854.78 × 8,098.96
  4. Step 4: Simplify right side
    20,584x = 249,891,629.03
  5. Step 5: Solve for x
    x = 249,891,629.03/20,584
  6. Step 6: Final answer
    x = 12,140.09

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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.