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Finding the Fourth Proportional to 24,361, 36,542.70 and 7,945

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Solution

The fourth proportional to 24,361, 36,542.70 and 7,945 is: 11,917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,361 : 36,542.70 = 7,945 : x
  2. Step 2: Convert to fraction form
    24,361/36,542.70 = 7,945/x
  3. Step 3: Cross multiply
    24,361x = 36,542.70 × 7,945
  4. Step 4: Simplify right side
    24,361x = 290,331,751.50
  5. Step 5: Solve for x
    x = 290,331,751.50/24,361
  6. Step 6: Final answer
    x = 11,917.89

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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.