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Finding the Fourth Proportional to 12,740.97, 17,543.34 and 11,322.21

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Solution

The fourth proportional to 12,740.97, 17,543.34 and 11,322.21 is: 15,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.97 : 17,543.34 = 11,322.21 : x
  2. Step 2: Convert to fraction form
    12,740.97/17,543.34 = 11,322.21/x
  3. Step 3: Cross multiply
    12,740.97x = 17,543.34 × 11,322.21
  4. Step 4: Simplify right side
    12,740.97x = 198,629,379.58
  5. Step 5: Solve for x
    x = 198,629,379.58/12,740.97
  6. Step 6: Final answer
    x = 15,589.82

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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.