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Finding the Fourth Proportional to 17,467.50, 24,105.11 and 9,509.78

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Solution

The fourth proportional to 17,467.50, 24,105.11 and 9,509.78 is: 13,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467.50 : 24,105.11 = 9,509.78 : x
  2. Step 2: Convert to fraction form
    17,467.50/24,105.11 = 9,509.78/x
  3. Step 3: Cross multiply
    17,467.50x = 24,105.11 × 9,509.78
  4. Step 4: Simplify right side
    17,467.50x = 229,234,292.98
  5. Step 5: Solve for x
    x = 229,234,292.98/17,467.50
  6. Step 6: Final answer
    x = 13,123.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.