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Finding the Fourth Proportional to 18,062.48, 27,093.72 and 8,822

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Solution

The fourth proportional to 18,062.48, 27,093.72 and 8,822 is: 13,233

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,062.48 : 27,093.72 = 8,822 : x
  2. Step 2: Convert to fraction form
    18,062.48/27,093.72 = 8,822/x
  3. Step 3: Cross multiply
    18,062.48x = 27,093.72 × 8,822
  4. Step 4: Simplify right side
    18,062.48x = 239,020,797.84
  5. Step 5: Solve for x
    x = 239,020,797.84/18,062.48
  6. Step 6: Final answer
    x = 13,233

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.