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Finding the Fourth Proportional to 17,467.58, 24,105.20 and 9,509.87

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Solution

The fourth proportional to 17,467.58, 24,105.20 and 9,509.87 is: 13,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467.58 : 24,105.20 = 9,509.87 : x
  2. Step 2: Convert to fraction form
    17,467.58/24,105.20 = 9,509.87/x
  3. Step 3: Cross multiply
    17,467.58x = 24,105.20 × 9,509.87
  4. Step 4: Simplify right side
    17,467.58x = 229,237,331.04
  5. Step 5: Solve for x
    x = 229,237,331.04/17,467.58
  6. Step 6: Final answer
    x = 13,123.59

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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.