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Finding the Fourth Proportional to 18,470.75, 27,706.13 and 4,619.75

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Solution

The fourth proportional to 18,470.75, 27,706.13 and 4,619.75 is: 6,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,470.75 : 27,706.13 = 4,619.75 : x
  2. Step 2: Convert to fraction form
    18,470.75/27,706.13 = 4,619.75/x
  3. Step 3: Cross multiply
    18,470.75x = 27,706.13 × 4,619.75
  4. Step 4: Simplify right side
    18,470.75x = 127,995,370.97
  5. Step 5: Solve for x
    x = 127,995,370.97/18,470.75
  6. Step 6: Final answer
    x = 6,929.63

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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.