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Finding the Fourth Proportional to 23,919.50, 35,885.01 and 7,503.50

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Solution

The fourth proportional to 23,919.50, 35,885.01 and 7,503.50 is: 11,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,919.50 : 35,885.01 = 7,503.50 : x
  2. Step 2: Convert to fraction form
    23,919.50/35,885.01 = 7,503.50/x
  3. Step 3: Cross multiply
    23,919.50x = 35,885.01 × 7,503.50
  4. Step 4: Simplify right side
    23,919.50x = 269,263,172.54
  5. Step 5: Solve for x
    x = 269,263,172.54/23,919.50
  6. Step 6: Final answer
    x = 11,257.06

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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.