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Finding the Fourth Proportional to 25,686.88, 38,520.60 and 10,096

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Solution

The fourth proportional to 25,686.88, 38,520.60 and 10,096 is: 15,140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,686.88 : 38,520.60 = 10,096 : x
  2. Step 2: Convert to fraction form
    25,686.88/38,520.60 = 10,096/x
  3. Step 3: Cross multiply
    25,686.88x = 38,520.60 × 10,096
  4. Step 4: Simplify right side
    25,686.88x = 388,903,977.60
  5. Step 5: Solve for x
    x = 388,903,977.60/25,686.88
  6. Step 6: Final answer
    x = 15,140.18

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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.