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Finding the Fourth Proportional to 22,716.76, 34,079.21 and 7,725.28

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Solution

The fourth proportional to 22,716.76, 34,079.21 and 7,725.28 is: 11,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716.76 : 34,079.21 = 7,725.28 : x
  2. Step 2: Convert to fraction form
    22,716.76/34,079.21 = 7,725.28/x
  3. Step 3: Cross multiply
    22,716.76x = 34,079.21 × 7,725.28
  4. Step 4: Simplify right side
    22,716.76x = 263,271,230.41
  5. Step 5: Solve for x
    x = 263,271,230.41/22,716.76
  6. Step 6: Final answer
    x = 11,589.30

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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.