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Finding the Fourth Proportional to 12,785.22, 17,643.96 and 7,480.26

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Solution

The fourth proportional to 12,785.22, 17,643.96 and 7,480.26 is: 10,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.22 : 17,643.96 = 7,480.26 : x
  2. Step 2: Convert to fraction form
    12,785.22/17,643.96 = 7,480.26/x
  3. Step 3: Cross multiply
    12,785.22x = 17,643.96 × 7,480.26
  4. Step 4: Simplify right side
    12,785.22x = 131,981,408.23
  5. Step 5: Solve for x
    x = 131,981,408.23/12,785.22
  6. Step 6: Final answer
    x = 10,322.97

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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.