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Finding the Fourth Proportional to 23,481, 35,221.50 and 7,898.63

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Solution

The fourth proportional to 23,481, 35,221.50 and 7,898.63 is: 11,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,481 : 35,221.50 = 7,898.63 : x
  2. Step 2: Convert to fraction form
    23,481/35,221.50 = 7,898.63/x
  3. Step 3: Cross multiply
    23,481x = 35,221.50 × 7,898.63
  4. Step 4: Simplify right side
    23,481x = 278,201,420.44
  5. Step 5: Solve for x
    x = 278,201,420.44/23,481
  6. Step 6: Final answer
    x = 11,847.94

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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.