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Finding the Fourth Proportional to 20,599.25, 28,427 and 11,167.83

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Solution

The fourth proportional to 20,599.25, 28,427 and 11,167.83 is: 15,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,599.25 : 28,427 = 11,167.83 : x
  2. Step 2: Convert to fraction form
    20,599.25/28,427 = 11,167.83/x
  3. Step 3: Cross multiply
    20,599.25x = 28,427 × 11,167.83
  4. Step 4: Simplify right side
    20,599.25x = 317,467,903.41
  5. Step 5: Solve for x
    x = 317,467,903.41/20,599.25
  6. Step 6: Final answer
    x = 15,411.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.