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Finding the Fourth Proportional to 18,467.68, 25,485.24 and 10,084

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Solution

The fourth proportional to 18,467.68, 25,485.24 and 10,084 is: 13,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,467.68 : 25,485.24 = 10,084 : x
  2. Step 2: Convert to fraction form
    18,467.68/25,485.24 = 10,084/x
  3. Step 3: Cross multiply
    18,467.68x = 25,485.24 × 10,084
  4. Step 4: Simplify right side
    18,467.68x = 256,993,160.16
  5. Step 5: Solve for x
    x = 256,993,160.16/18,467.68
  6. Step 6: Final answer
    x = 13,915.83

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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.