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Finding the Fourth Proportional to 12,731.67, 17,578.26 and 9,742.16

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Solution

The fourth proportional to 12,731.67, 17,578.26 and 9,742.16 is: 13,450.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731.67 : 17,578.26 = 9,742.16 : x
  2. Step 2: Convert to fraction form
    12,731.67/17,578.26 = 9,742.16/x
  3. Step 3: Cross multiply
    12,731.67x = 17,578.26 × 9,742.16
  4. Step 4: Simplify right side
    12,731.67x = 171,250,133.55
  5. Step 5: Solve for x
    x = 171,250,133.55/12,731.67
  6. Step 6: Final answer
    x = 13,450.72

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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.