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Finding the Fourth Proportional to 18,204.48, 27,298.08 and 7,812

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Solution

The fourth proportional to 18,204.48, 27,298.08 and 7,812 is: 11,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,204.48 : 27,298.08 = 7,812 : x
  2. Step 2: Convert to fraction form
    18,204.48/27,298.08 = 7,812/x
  3. Step 3: Cross multiply
    18,204.48x = 27,298.08 × 7,812
  4. Step 4: Simplify right side
    18,204.48x = 213,252,600.96
  5. Step 5: Solve for x
    x = 213,252,600.96/18,204.48
  6. Step 6: Final answer
    x = 11,714.29

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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.