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Finding the Fourth Proportional to 22,659.66, 33,989.49 and 7,078.50

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Solution

The fourth proportional to 22,659.66, 33,989.49 and 7,078.50 is: 10,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,659.66 : 33,989.49 = 7,078.50 : x
  2. Step 2: Convert to fraction form
    22,659.66/33,989.49 = 7,078.50/x
  3. Step 3: Cross multiply
    22,659.66x = 33,989.49 × 7,078.50
  4. Step 4: Simplify right side
    22,659.66x = 240,594,604.97
  5. Step 5: Solve for x
    x = 240,594,604.97/22,659.66
  6. Step 6: Final answer
    x = 10,617.75

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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.