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Finding the Fourth Proportional to 17,406.58, 24,021.33 and 9,448.82

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Solution

The fourth proportional to 17,406.58, 24,021.33 and 9,448.82 is: 13,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.58 : 24,021.33 = 9,448.82 : x
  2. Step 2: Convert to fraction form
    17,406.58/24,021.33 = 9,448.82/x
  3. Step 3: Cross multiply
    17,406.58x = 24,021.33 × 9,448.82
  4. Step 4: Simplify right side
    17,406.58x = 226,973,223.33
  5. Step 5: Solve for x
    x = 226,973,223.33/17,406.58
  6. Step 6: Final answer
    x = 13,039.51

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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.