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Finding the Fourth Proportional to 12,513.97, 18,772.26 and 5,117.25

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Solution

The fourth proportional to 12,513.97, 18,772.26 and 5,117.25 is: 7,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.97 : 18,772.26 = 5,117.25 : x
  2. Step 2: Convert to fraction form
    12,513.97/18,772.26 = 5,117.25/x
  3. Step 3: Cross multiply
    12,513.97x = 18,772.26 × 5,117.25
  4. Step 4: Simplify right side
    12,513.97x = 96,062,347.49
  5. Step 5: Solve for x
    x = 96,062,347.49/12,513.97
  6. Step 6: Final answer
    x = 7,676.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.