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Finding the Fourth Proportional to 23,744.22, 35,616.33 and 9,883.50

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Solution

The fourth proportional to 23,744.22, 35,616.33 and 9,883.50 is: 14,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,744.22 : 35,616.33 = 9,883.50 : x
  2. Step 2: Convert to fraction form
    23,744.22/35,616.33 = 9,883.50/x
  3. Step 3: Cross multiply
    23,744.22x = 35,616.33 × 9,883.50
  4. Step 4: Simplify right side
    23,744.22x = 352,013,997.56
  5. Step 5: Solve for x
    x = 352,013,997.56/23,744.22
  6. Step 6: Final answer
    x = 14,825.25

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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.