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Finding the Fourth Proportional to 13,744.76, 18,983.22 and 9,260.66

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Solution

The fourth proportional to 13,744.76, 18,983.22 and 9,260.66 is: 12,790.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.76 : 18,983.22 = 9,260.66 : x
  2. Step 2: Convert to fraction form
    13,744.76/18,983.22 = 9,260.66/x
  3. Step 3: Cross multiply
    13,744.76x = 18,983.22 × 9,260.66
  4. Step 4: Simplify right side
    13,744.76x = 175,797,146.13
  5. Step 5: Solve for x
    x = 175,797,146.13/13,744.76
  6. Step 6: Final answer
    x = 12,790.12

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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.