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Finding the Fourth Proportional to 13,436.73, 18,542.57 and 7,468.25

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Solution

The fourth proportional to 13,436.73, 18,542.57 and 7,468.25 is: 10,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436.73 : 18,542.57 = 7,468.25 : x
  2. Step 2: Convert to fraction form
    13,436.73/18,542.57 = 7,468.25/x
  3. Step 3: Cross multiply
    13,436.73x = 18,542.57 × 7,468.25
  4. Step 4: Simplify right side
    13,436.73x = 138,480,418.35
  5. Step 5: Solve for x
    x = 138,480,418.35/13,436.73
  6. Step 6: Final answer
    x = 10,306.11

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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.