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Finding the Fourth Proportional to 18,273.84, 27,392.16 and 8,420.40

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Solution

The fourth proportional to 18,273.84, 27,392.16 and 8,420.40 is: 12,622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,273.84 : 27,392.16 = 8,420.40 : x
  2. Step 2: Convert to fraction form
    18,273.84/27,392.16 = 8,420.40/x
  3. Step 3: Cross multiply
    18,273.84x = 27,392.16 × 8,420.40
  4. Step 4: Simplify right side
    18,273.84x = 230,652,944.06
  5. Step 5: Solve for x
    x = 230,652,944.06/18,273.84
  6. Step 6: Final answer
    x = 12,622.03

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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.