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Finding the Fourth Proportional to 18,078.68, 24,936.02 and 15,383

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Solution

The fourth proportional to 18,078.68, 24,936.02 and 15,383 is: 21,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,078.68 : 24,936.02 = 15,383 : x
  2. Step 2: Convert to fraction form
    18,078.68/24,936.02 = 15,383/x
  3. Step 3: Cross multiply
    18,078.68x = 24,936.02 × 15,383
  4. Step 4: Simplify right side
    18,078.68x = 383,590,795.66
  5. Step 5: Solve for x
    x = 383,590,795.66/18,078.68
  6. Step 6: Final answer
    x = 21,217.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.