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Finding the Fourth Proportional to 18,355.53, 27,527.49 and 7,825.50

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Solution

The fourth proportional to 18,355.53, 27,527.49 and 7,825.50 is: 11,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,355.53 : 27,527.49 = 7,825.50 : x
  2. Step 2: Convert to fraction form
    18,355.53/27,527.49 = 7,825.50/x
  3. Step 3: Cross multiply
    18,355.53x = 27,527.49 × 7,825.50
  4. Step 4: Simplify right side
    18,355.53x = 215,416,373.00
  5. Step 5: Solve for x
    x = 215,416,373.00/18,355.53
  6. Step 6: Final answer
    x = 11,735.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.