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Finding the Fourth Proportional to 12,239.25, 16,891.62 and 7,271.25

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Solution

The fourth proportional to 12,239.25, 16,891.62 and 7,271.25 is: 10,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,239.25 : 16,891.62 = 7,271.25 : x
  2. Step 2: Convert to fraction form
    12,239.25/16,891.62 = 7,271.25/x
  3. Step 3: Cross multiply
    12,239.25x = 16,891.62 × 7,271.25
  4. Step 4: Simplify right side
    12,239.25x = 122,823,191.93
  5. Step 5: Solve for x
    x = 122,823,191.93/12,239.25
  6. Step 6: Final answer
    x = 10,035.19

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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.