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Finding the Fourth Proportional to 18,624.46, 27,937 and 4,584.54

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Solution

The fourth proportional to 18,624.46, 27,937 and 4,584.54 is: 6,876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,624.46 : 27,937 = 4,584.54 : x
  2. Step 2: Convert to fraction form
    18,624.46/27,937 = 4,584.54/x
  3. Step 3: Cross multiply
    18,624.46x = 27,937 × 4,584.54
  4. Step 4: Simplify right side
    18,624.46x = 128,078,293.98
  5. Step 5: Solve for x
    x = 128,078,293.98/18,624.46
  6. Step 6: Final answer
    x = 6,876.89

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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.