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Finding the Fourth Proportional to 26,138.88, 39,206.16 and 12,096

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Solution

The fourth proportional to 26,138.88, 39,206.16 and 12,096 is: 18,143.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138.88 : 39,206.16 = 12,096 : x
  2. Step 2: Convert to fraction form
    26,138.88/39,206.16 = 12,096/x
  3. Step 3: Cross multiply
    26,138.88x = 39,206.16 × 12,096
  4. Step 4: Simplify right side
    26,138.88x = 474,237,711.36
  5. Step 5: Solve for x
    x = 474,237,711.36/26,138.88
  6. Step 6: Final answer
    x = 18,143.00

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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.