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Finding the Fourth Proportional to 12,733.29, 17,570.97 and 7,427.43

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Solution

The fourth proportional to 12,733.29, 17,570.97 and 7,427.43 is: 10,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733.29 : 17,570.97 = 7,427.43 : x
  2. Step 2: Convert to fraction form
    12,733.29/17,570.97 = 7,427.43/x
  3. Step 3: Cross multiply
    12,733.29x = 17,570.97 × 7,427.43
  4. Step 4: Simplify right side
    12,733.29x = 130,507,149.71
  5. Step 5: Solve for x
    x = 130,507,149.71/12,733.29
  6. Step 6: Final answer
    x = 10,249.29

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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.