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Finding the Fourth Proportional to 18,489.87, 25,516 and 10,106.37

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Solution

The fourth proportional to 18,489.87, 25,516 and 10,106.37 is: 13,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,489.87 : 25,516 = 10,106.37 : x
  2. Step 2: Convert to fraction form
    18,489.87/25,516 = 10,106.37/x
  3. Step 3: Cross multiply
    18,489.87x = 25,516 × 10,106.37
  4. Step 4: Simplify right side
    18,489.87x = 257,874,136.92
  5. Step 5: Solve for x
    x = 257,874,136.92/18,489.87
  6. Step 6: Final answer
    x = 13,946.78

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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.