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Finding the Fourth Proportional to 13,754.45, 18,981.59 and 7,785.99

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Solution

The fourth proportional to 13,754.45, 18,981.59 and 7,785.99 is: 10,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.45 : 18,981.59 = 7,785.99 : x
  2. Step 2: Convert to fraction form
    13,754.45/18,981.59 = 7,785.99/x
  3. Step 3: Cross multiply
    13,754.45x = 18,981.59 × 7,785.99
  4. Step 4: Simplify right side
    13,754.45x = 147,790,469.92
  5. Step 5: Solve for x
    x = 147,790,469.92/13,754.45
  6. Step 6: Final answer
    x = 10,744.92

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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.