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Finding the Fourth Proportional to 15,916.68, 23,857.02 and 8,109

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Solution

The fourth proportional to 15,916.68, 23,857.02 and 8,109 is: 12,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.68 : 23,857.02 = 8,109 : x
  2. Step 2: Convert to fraction form
    15,916.68/23,857.02 = 8,109/x
  3. Step 3: Cross multiply
    15,916.68x = 23,857.02 × 8,109
  4. Step 4: Simplify right side
    15,916.68x = 193,456,575.18
  5. Step 5: Solve for x
    x = 193,456,575.18/15,916.68
  6. Step 6: Final answer
    x = 12,154.33

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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.