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Finding the Fourth Proportional to 17,467.09, 24,104.69 and 9,509.30

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Solution

The fourth proportional to 17,467.09, 24,104.69 and 9,509.30 is: 13,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467.09 : 24,104.69 = 9,509.30 : x
  2. Step 2: Convert to fraction form
    17,467.09/24,104.69 = 9,509.30/x
  3. Step 3: Cross multiply
    17,467.09x = 24,104.69 × 9,509.30
  4. Step 4: Simplify right side
    17,467.09x = 229,218,686.60
  5. Step 5: Solve for x
    x = 229,218,686.60/17,467.09
  6. Step 6: Final answer
    x = 13,122.89

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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.