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Finding the Fourth Proportional to 15,842.86, 23,751.83 and 7,941.41

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Solution

The fourth proportional to 15,842.86, 23,751.83 and 7,941.41 is: 11,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.86 : 23,751.83 = 7,941.41 : x
  2. Step 2: Convert to fraction form
    15,842.86/23,751.83 = 7,941.41/x
  3. Step 3: Cross multiply
    15,842.86x = 23,751.83 × 7,941.41
  4. Step 4: Simplify right side
    15,842.86x = 188,623,010.44
  5. Step 5: Solve for x
    x = 188,623,010.44/15,842.86
  6. Step 6: Final answer
    x = 11,905.87

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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.