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Finding the Fourth Proportional to 17,051.94, 25,584.84 and 13,578.66

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Solution

The fourth proportional to 17,051.94, 25,584.84 and 13,578.66 is: 20,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,051.94 : 25,584.84 = 13,578.66 : x
  2. Step 2: Convert to fraction form
    17,051.94/25,584.84 = 13,578.66/x
  3. Step 3: Cross multiply
    17,051.94x = 25,584.84 × 13,578.66
  4. Step 4: Simplify right side
    17,051.94x = 347,407,843.51
  5. Step 5: Solve for x
    x = 347,407,843.51/17,051.94
  6. Step 6: Final answer
    x = 20,373.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.