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Finding the Fourth Proportional to 24,267.50, 36,401.22 and 7,628.99

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Solution

The fourth proportional to 24,267.50, 36,401.22 and 7,628.99 is: 11,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,267.50 : 36,401.22 = 7,628.99 : x
  2. Step 2: Convert to fraction form
    24,267.50/36,401.22 = 7,628.99/x
  3. Step 3: Cross multiply
    24,267.50x = 36,401.22 × 7,628.99
  4. Step 4: Simplify right side
    24,267.50x = 277,704,361.36
  5. Step 5: Solve for x
    x = 277,704,361.36/24,267.50
  6. Step 6: Final answer
    x = 11,443.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.