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Finding the Fourth Proportional to 13,524.39, 18,641.36 and 9,046.53

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Solution

The fourth proportional to 13,524.39, 18,641.36 and 9,046.53 is: 12,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.39 : 18,641.36 = 9,046.53 : x
  2. Step 2: Convert to fraction form
    13,524.39/18,641.36 = 9,046.53/x
  3. Step 3: Cross multiply
    13,524.39x = 18,641.36 × 9,046.53
  4. Step 4: Simplify right side
    13,524.39x = 168,639,577.25
  5. Step 5: Solve for x
    x = 168,639,577.25/13,524.39
  6. Step 6: Final answer
    x = 12,469.29

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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.