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Finding the Fourth Proportional to 18,150.64, 27,208.68 and 5,830

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Solution

The fourth proportional to 18,150.64, 27,208.68 and 5,830 is: 8,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,150.64 : 27,208.68 = 5,830 : x
  2. Step 2: Convert to fraction form
    18,150.64/27,208.68 = 5,830/x
  3. Step 3: Cross multiply
    18,150.64x = 27,208.68 × 5,830
  4. Step 4: Simplify right side
    18,150.64x = 158,626,604.40
  5. Step 5: Solve for x
    x = 158,626,604.40/18,150.64
  6. Step 6: Final answer
    x = 8,739.45

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