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Finding the Fourth Proportional to 23,167, 34,750.80 and 7,584.63

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Solution

The fourth proportional to 23,167, 34,750.80 and 7,584.63 is: 11,377.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,167 : 34,750.80 = 7,584.63 : x
  2. Step 2: Convert to fraction form
    23,167/34,750.80 = 7,584.63/x
  3. Step 3: Cross multiply
    23,167x = 34,750.80 × 7,584.63
  4. Step 4: Simplify right side
    23,167x = 263,571,960.20
  5. Step 5: Solve for x
    x = 263,571,960.20/23,167
  6. Step 6: Final answer
    x = 11,377.04

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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.