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Finding the Fourth Proportional to 17,407.04, 24,021.07 and 9,449.09

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Solution

The fourth proportional to 17,407.04, 24,021.07 and 9,449.09 is: 13,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.04 : 24,021.07 = 9,449.09 : x
  2. Step 2: Convert to fraction form
    17,407.04/24,021.07 = 9,449.09/x
  3. Step 3: Cross multiply
    17,407.04x = 24,021.07 × 9,449.09
  4. Step 4: Simplify right side
    17,407.04x = 226,977,252.33
  5. Step 5: Solve for x
    x = 226,977,252.33/17,407.04
  6. Step 6: Final answer
    x = 13,039.39

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Why These Related Problems?

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