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Finding the Fourth Proportional to 23,846.67, 35,769.99 and 9,814.34

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Solution

The fourth proportional to 23,846.67, 35,769.99 and 9,814.34 is: 14,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.67 : 35,769.99 = 9,814.34 : x
  2. Step 2: Convert to fraction form
    23,846.67/35,769.99 = 9,814.34/x
  3. Step 3: Cross multiply
    23,846.67x = 35,769.99 × 9,814.34
  4. Step 4: Simplify right side
    23,846.67x = 351,058,664.81
  5. Step 5: Solve for x
    x = 351,058,664.81/23,846.67
  6. Step 6: Final answer
    x = 14,721.50

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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.