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Finding the Fourth Proportional to 22,470.75, 33,707.75 and 8,619.75

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Solution

The fourth proportional to 22,470.75, 33,707.75 and 8,619.75 is: 12,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.75 : 33,707.75 = 8,619.75 : x
  2. Step 2: Convert to fraction form
    22,470.75/33,707.75 = 8,619.75/x
  3. Step 3: Cross multiply
    22,470.75x = 33,707.75 × 8,619.75
  4. Step 4: Simplify right side
    22,470.75x = 290,552,334.96
  5. Step 5: Solve for x
    x = 290,552,334.96/22,470.75
  6. Step 6: Final answer
    x = 12,930.25

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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.