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Finding the Fourth Proportional to 13,755.34, 18,960.24 and 9,277.66

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Solution

The fourth proportional to 13,755.34, 18,960.24 and 9,277.66 is: 12,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.34 : 18,960.24 = 9,277.66 : x
  2. Step 2: Convert to fraction form
    13,755.34/18,960.24 = 9,277.66/x
  3. Step 3: Cross multiply
    13,755.34x = 18,960.24 × 9,277.66
  4. Step 4: Simplify right side
    13,755.34x = 175,906,660.24
  5. Step 5: Solve for x
    x = 175,906,660.24/13,755.34
  6. Step 6: Final answer
    x = 12,788.25

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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.