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Finding the Fourth Proportional to 23,195.94, 34,800.39 and 7,624.50

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Solution

The fourth proportional to 23,195.94, 34,800.39 and 7,624.50 is: 11,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,195.94 : 34,800.39 = 7,624.50 : x
  2. Step 2: Convert to fraction form
    23,195.94/34,800.39 = 7,624.50/x
  3. Step 3: Cross multiply
    23,195.94x = 34,800.39 × 7,624.50
  4. Step 4: Simplify right side
    23,195.94x = 265,335,573.56
  5. Step 5: Solve for x
    x = 265,335,573.56/23,195.94
  6. Step 6: Final answer
    x = 11,438.88

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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.