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Finding the Fourth Proportional to 23,781, 35,660.98 and 7,137.85

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Solution

The fourth proportional to 23,781, 35,660.98 and 7,137.85 is: 10,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,781 : 35,660.98 = 7,137.85 : x
  2. Step 2: Convert to fraction form
    23,781/35,660.98 = 7,137.85/x
  3. Step 3: Cross multiply
    23,781x = 35,660.98 × 7,137.85
  4. Step 4: Simplify right side
    23,781x = 254,542,726.09
  5. Step 5: Solve for x
    x = 254,542,726.09/23,781
  6. Step 6: Final answer
    x = 10,703.62

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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.