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Finding the Fourth Proportional to 22,480.46, 33,720.72 and 7,689.50

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Solution

The fourth proportional to 22,480.46, 33,720.72 and 7,689.50 is: 11,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,480.46 : 33,720.72 = 7,689.50 : x
  2. Step 2: Convert to fraction form
    22,480.46/33,720.72 = 7,689.50/x
  3. Step 3: Cross multiply
    22,480.46x = 33,720.72 × 7,689.50
  4. Step 4: Simplify right side
    22,480.46x = 259,295,476.44
  5. Step 5: Solve for x
    x = 259,295,476.44/22,480.46
  6. Step 6: Final answer
    x = 11,534.26

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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.