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Finding the Fourth Proportional to 23,057.54, 34,591.17 and 7,473.95

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Solution

The fourth proportional to 23,057.54, 34,591.17 and 7,473.95 is: 11,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057.54 : 34,591.17 = 7,473.95 : x
  2. Step 2: Convert to fraction form
    23,057.54/34,591.17 = 7,473.95/x
  3. Step 3: Cross multiply
    23,057.54x = 34,591.17 × 7,473.95
  4. Step 4: Simplify right side
    23,057.54x = 258,532,675.02
  5. Step 5: Solve for x
    x = 258,532,675.02/23,057.54
  6. Step 6: Final answer
    x = 11,212.50

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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.