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Finding the Fourth Proportional to 17,509.21, 24,161.73 and 9,954.47

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Solution

The fourth proportional to 17,509.21, 24,161.73 and 9,954.47 is: 13,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.21 : 24,161.73 = 9,954.47 : x
  2. Step 2: Convert to fraction form
    17,509.21/24,161.73 = 9,954.47/x
  3. Step 3: Cross multiply
    17,509.21x = 24,161.73 × 9,954.47
  4. Step 4: Simplify right side
    17,509.21x = 240,517,239.51
  5. Step 5: Solve for x
    x = 240,517,239.51/17,509.21
  6. Step 6: Final answer
    x = 13,736.61

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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.