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Finding the Fourth Proportional to 18,285, 27,401.26 and 9,946.84

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Solution

The fourth proportional to 18,285, 27,401.26 and 9,946.84 is: 14,905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285 : 27,401.26 = 9,946.84 : x
  2. Step 2: Convert to fraction form
    18,285/27,401.26 = 9,946.84/x
  3. Step 3: Cross multiply
    18,285x = 27,401.26 × 9,946.84
  4. Step 4: Simplify right side
    18,285x = 272,555,949.02
  5. Step 5: Solve for x
    x = 272,555,949.02/18,285
  6. Step 6: Final answer
    x = 14,905.99

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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.