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Finding the Fourth Proportional to 17,406.41, 24,020.82 and 9,448.83

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Solution

The fourth proportional to 17,406.41, 24,020.82 and 9,448.83 is: 13,039.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.41 : 24,020.82 = 9,448.83 : x
  2. Step 2: Convert to fraction form
    17,406.41/24,020.82 = 9,448.83/x
  3. Step 3: Cross multiply
    17,406.41x = 24,020.82 × 9,448.83
  4. Step 4: Simplify right side
    17,406.41x = 226,968,644.64
  5. Step 5: Solve for x
    x = 226,968,644.64/17,406.41
  6. Step 6: Final answer
    x = 13,039.38

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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.