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Finding the Fourth Proportional to 18,144.51, 27,213.57 and 4,993.76

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Solution

The fourth proportional to 18,144.51, 27,213.57 and 4,993.76 is: 7,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144.51 : 27,213.57 = 4,993.76 : x
  2. Step 2: Convert to fraction form
    18,144.51/27,213.57 = 4,993.76/x
  3. Step 3: Cross multiply
    18,144.51x = 27,213.57 × 4,993.76
  4. Step 4: Simplify right side
    18,144.51x = 135,897,901.26
  5. Step 5: Solve for x
    x = 135,897,901.26/18,144.51
  6. Step 6: Final answer
    x = 7,489.75

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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.